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Finding the Third Proportional to 58,777.52 and 125,141.20

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Solution

The third proportional to 58,777.52 and 125,141.20 is: 266,433.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,777.52 : 125,141.20 = 125,141.20 : x
  2. Step 2: Convert to fraction form
    58,777.52/125,141.20 = 125,141.20/x
  3. Step 3: Cross multiply
    58,777.52x = 125,141.20 × 125,141.20
  4. Step 4: Simplify right side
    58,777.52x = 15,660,320,719.57
  5. Step 5: Solve for x
    x = 15,660,320,719.57/58,777.52
  6. Step 6: Final answer
    x = 266,433.83

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.