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Finding the Third Proportional to 130,563 and 176,161.50

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Solution

The third proportional to 130,563 and 176,161.50 is: 237,685.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,563 : 176,161.50 = 176,161.50 : x
  2. Step 2: Convert to fraction form
    130,563/176,161.50 = 176,161.50/x
  3. Step 3: Cross multiply
    130,563x = 176,161.50 × 176,161.50
  4. Step 4: Simplify right side
    130,563x = 31,032,874,082.25
  5. Step 5: Solve for x
    x = 31,032,874,082.25/130,563
  6. Step 6: Final answer
    x = 237,685.06

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.