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Finding the Third Proportional to 61,534 and 96,402

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Solution

The third proportional to 61,534 and 96,402 is: 151,027.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,534 : 96,402 = 96,402 : x
  2. Step 2: Convert to fraction form
    61,534/96,402 = 96,402/x
  3. Step 3: Cross multiply
    61,534x = 96,402 × 96,402
  4. Step 4: Simplify right side
    61,534x = 9,293,345,604
  5. Step 5: Solve for x
    x = 9,293,345,604/61,534
  6. Step 6: Final answer
    x = 151,027.82

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.