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Finding the Third Proportional to 58,526.72 and 125,930.53

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Solution

The third proportional to 58,526.72 and 125,930.53 is: 270,961.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,526.72 : 125,930.53 = 125,930.53 : x
  2. Step 2: Convert to fraction form
    58,526.72/125,930.53 = 125,930.53/x
  3. Step 3: Cross multiply
    58,526.72x = 125,930.53 × 125,930.53
  4. Step 4: Simplify right side
    58,526.72x = 15,858,498,700.91
  5. Step 5: Solve for x
    x = 15,858,498,700.91/58,526.72
  6. Step 6: Final answer
    x = 270,961.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.