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Finding the Third Proportional to 71,776.13 and 157,357.69

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Solution

The third proportional to 71,776.13 and 157,357.69 is: 344,981.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,776.13 : 157,357.69 = 157,357.69 : x
  2. Step 2: Convert to fraction form
    71,776.13/157,357.69 = 157,357.69/x
  3. Step 3: Cross multiply
    71,776.13x = 157,357.69 × 157,357.69
  4. Step 4: Simplify right side
    71,776.13x = 24,761,441,815.35
  5. Step 5: Solve for x
    x = 24,761,441,815.35/71,776.13
  6. Step 6: Final answer
    x = 344,981.59

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.