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Finding the Third Proportional to 61,101.84 and 93,469.78

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Solution

The third proportional to 61,101.84 and 93,469.78 is: 142,984.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,101.84 : 93,469.78 = 93,469.78 : x
  2. Step 2: Convert to fraction form
    61,101.84/93,469.78 = 93,469.78/x
  3. Step 3: Cross multiply
    61,101.84x = 93,469.78 × 93,469.78
  4. Step 4: Simplify right side
    61,101.84x = 8,736,600,006.92
  5. Step 5: Solve for x
    x = 8,736,600,006.92/61,101.84
  6. Step 6: Final answer
    x = 142,984.23

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.