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Finding the Third Proportional to 60,098 and 93,424

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Solution

The third proportional to 60,098 and 93,424 is: 145,230.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,098 : 93,424 = 93,424 : x
  2. Step 2: Convert to fraction form
    60,098/93,424 = 93,424/x
  3. Step 3: Cross multiply
    60,098x = 93,424 × 93,424
  4. Step 4: Simplify right side
    60,098x = 8,728,043,776
  5. Step 5: Solve for x
    x = 8,728,043,776/60,098
  6. Step 6: Final answer
    x = 145,230.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.