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Finding the Third Proportional to 62,285.20 and 93,412.62

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Solution

The third proportional to 62,285.20 and 93,412.62 is: 140,096.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,285.20 : 93,412.62 = 93,412.62 : x
  2. Step 2: Convert to fraction form
    62,285.20/93,412.62 = 93,412.62/x
  3. Step 3: Cross multiply
    62,285.20x = 93,412.62 × 93,412.62
  4. Step 4: Simplify right side
    62,285.20x = 8,725,917,049.82
  5. Step 5: Solve for x
    x = 8,725,917,049.82/62,285.20
  6. Step 6: Final answer
    x = 140,096.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.