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Finding the Third Proportional to 59,864 and 93,909

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Solution

The third proportional to 59,864 and 93,909 is: 147,315.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,864 : 93,909 = 93,909 : x
  2. Step 2: Convert to fraction form
    59,864/93,909 = 93,909/x
  3. Step 3: Cross multiply
    59,864x = 93,909 × 93,909
  4. Step 4: Simplify right side
    59,864x = 8,818,900,281
  5. Step 5: Solve for x
    x = 8,818,900,281/59,864
  6. Step 6: Final answer
    x = 147,315.59

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.