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Finding the Third Proportional to 58,345.13 and 127,248.69

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Solution

The third proportional to 58,345.13 and 127,248.69 is: 277,524.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,345.13 : 127,248.69 = 127,248.69 : x
  2. Step 2: Convert to fraction form
    58,345.13/127,248.69 = 127,248.69/x
  3. Step 3: Cross multiply
    58,345.13x = 127,248.69 × 127,248.69
  4. Step 4: Simplify right side
    58,345.13x = 16,192,228,470.47
  5. Step 5: Solve for x
    x = 16,192,228,470.47/58,345.13
  6. Step 6: Final answer
    x = 277,524.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.