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Finding the Third Proportional to 70,614 and 103,565.25

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Solution

The third proportional to 70,614 and 103,565.25 is: 151,892.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,614 : 103,565.25 = 103,565.25 : x
  2. Step 2: Convert to fraction form
    70,614/103,565.25 = 103,565.25/x
  3. Step 3: Cross multiply
    70,614x = 103,565.25 × 103,565.25
  4. Step 4: Simplify right side
    70,614x = 10,725,761,007.56
  5. Step 5: Solve for x
    x = 10,725,761,007.56/70,614
  6. Step 6: Final answer
    x = 151,892.84

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.