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Finding the Third Proportional to 76,957.88 and 111,358.13

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Solution

The third proportional to 76,957.88 and 111,358.13 is: 161,135.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,957.88 : 111,358.13 = 111,358.13 : x
  2. Step 2: Convert to fraction form
    76,957.88/111,358.13 = 111,358.13/x
  3. Step 3: Cross multiply
    76,957.88x = 111,358.13 × 111,358.13
  4. Step 4: Simplify right side
    76,957.88x = 12,400,632,003.52
  5. Step 5: Solve for x
    x = 12,400,632,003.52/76,957.88
  6. Step 6: Final answer
    x = 161,135.32

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.