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Finding the Third Proportional to 71,685 and 110,535.75

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Solution

The third proportional to 71,685 and 110,535.75 is: 170,442.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,685 : 110,535.75 = 110,535.75 : x
  2. Step 2: Convert to fraction form
    71,685/110,535.75 = 110,535.75/x
  3. Step 3: Cross multiply
    71,685x = 110,535.75 × 110,535.75
  4. Step 4: Simplify right side
    71,685x = 12,218,152,028.06
  5. Step 5: Solve for x
    x = 12,218,152,028.06/71,685
  6. Step 6: Final answer
    x = 170,442.24

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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.