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Finding the Third Proportional to 76,305.38 and 112,251.94

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Solution

The third proportional to 76,305.38 and 112,251.94 is: 165,132.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,305.38 : 112,251.94 = 112,251.94 : x
  2. Step 2: Convert to fraction form
    76,305.38/112,251.94 = 112,251.94/x
  3. Step 3: Cross multiply
    76,305.38x = 112,251.94 × 112,251.94
  4. Step 4: Simplify right side
    76,305.38x = 12,600,497,472.50
  5. Step 5: Solve for x
    x = 12,600,497,472.50/76,305.38
  6. Step 6: Final answer
    x = 165,132.50

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Why These Related Problems?

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