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Finding the Third Proportional to 61,469 and 96,008

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Solution

The third proportional to 61,469 and 96,008 is: 149,954.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,469 : 96,008 = 96,008 : x
  2. Step 2: Convert to fraction form
    61,469/96,008 = 96,008/x
  3. Step 3: Cross multiply
    61,469x = 96,008 × 96,008
  4. Step 4: Simplify right side
    61,469x = 9,217,536,064
  5. Step 5: Solve for x
    x = 9,217,536,064/61,469
  6. Step 6: Final answer
    x = 149,954.22

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.