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Finding the Third Proportional to 58,294.69 and 124,588.69

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Solution

The third proportional to 58,294.69 and 124,588.69 is: 266,273.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,294.69 : 124,588.69 = 124,588.69 : x
  2. Step 2: Convert to fraction form
    58,294.69/124,588.69 = 124,588.69/x
  3. Step 3: Cross multiply
    58,294.69x = 124,588.69 × 124,588.69
  4. Step 4: Simplify right side
    58,294.69x = 15,522,341,052.97
  5. Step 5: Solve for x
    x = 15,522,341,052.97/58,294.69
  6. Step 6: Final answer
    x = 266,273.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.