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Finding the Third Proportional to 110,711.50 and 170,977.50

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Solution

The third proportional to 110,711.50 and 170,977.50 is: 264,049.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,711.50 : 170,977.50 = 170,977.50 : x
  2. Step 2: Convert to fraction form
    110,711.50/170,977.50 = 170,977.50/x
  3. Step 3: Cross multiply
    110,711.50x = 170,977.50 × 170,977.50
  4. Step 4: Simplify right side
    110,711.50x = 29,233,305,506.25
  5. Step 5: Solve for x
    x = 29,233,305,506.25/110,711.50
  6. Step 6: Final answer
    x = 264,049.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.