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Finding the Third Proportional to 76,332.38 and 115,333.88

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Solution

The third proportional to 76,332.38 and 115,333.88 is: 174,262.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,332.38 : 115,333.88 = 115,333.88 : x
  2. Step 2: Convert to fraction form
    76,332.38/115,333.88 = 115,333.88/x
  3. Step 3: Cross multiply
    76,332.38x = 115,333.88 × 115,333.88
  4. Step 4: Simplify right side
    76,332.38x = 13,301,902,722.52
  5. Step 5: Solve for x
    x = 13,301,902,722.52/76,332.38
  6. Step 6: Final answer
    x = 174,262.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.