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Finding the Third Proportional to 63,750 and 173,429

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Solution

The third proportional to 63,750 and 173,429 is: 471,805.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,750 : 173,429 = 173,429 : x
  2. Step 2: Convert to fraction form
    63,750/173,429 = 173,429/x
  3. Step 3: Cross multiply
    63,750x = 173,429 × 173,429
  4. Step 4: Simplify right side
    63,750x = 30,077,618,041
  5. Step 5: Solve for x
    x = 30,077,618,041/63,750
  6. Step 6: Final answer
    x = 471,805.77

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.