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Finding the Third Proportional to 61,449 and 97,708.50

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Solution

The third proportional to 61,449 and 97,708.50 is: 155,363.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,449 : 97,708.50 = 97,708.50 : x
  2. Step 2: Convert to fraction form
    61,449/97,708.50 = 97,708.50/x
  3. Step 3: Cross multiply
    61,449x = 97,708.50 × 97,708.50
  4. Step 4: Simplify right side
    61,449x = 9,546,950,972.25
  5. Step 5: Solve for x
    x = 9,546,950,972.25/61,449
  6. Step 6: Final answer
    x = 155,363.81

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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.