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Finding the Third Proportional to 62,429 and 96,557

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Solution

The third proportional to 62,429 and 96,557 is: 149,341.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,429 : 96,557 = 96,557 : x
  2. Step 2: Convert to fraction form
    62,429/96,557 = 96,557/x
  3. Step 3: Cross multiply
    62,429x = 96,557 × 96,557
  4. Step 4: Simplify right side
    62,429x = 9,323,254,249
  5. Step 5: Solve for x
    x = 9,323,254,249/62,429
  6. Step 6: Final answer
    x = 149,341.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.