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Finding the Third Proportional to 61,953 and 98,469

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Solution

The third proportional to 61,953 and 98,469 is: 156,508.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,953 : 98,469 = 98,469 : x
  2. Step 2: Convert to fraction form
    61,953/98,469 = 98,469/x
  3. Step 3: Cross multiply
    61,953x = 98,469 × 98,469
  4. Step 4: Simplify right side
    61,953x = 9,696,143,961
  5. Step 5: Solve for x
    x = 9,696,143,961/61,953
  6. Step 6: Final answer
    x = 156,508.06

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.