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Finding the Third Proportional to 61,002 and 97,398

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Solution

The third proportional to 61,002 and 97,398 is: 155,509.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,002 : 97,398 = 97,398 : x
  2. Step 2: Convert to fraction form
    61,002/97,398 = 97,398/x
  3. Step 3: Cross multiply
    61,002x = 97,398 × 97,398
  4. Step 4: Simplify right side
    61,002x = 9,486,370,404
  5. Step 5: Solve for x
    x = 9,486,370,404/61,002
  6. Step 6: Final answer
    x = 155,509.17

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.