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Finding the Third Proportional to 58,774.69 and 138,721.97

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Solution

The third proportional to 58,774.69 and 138,721.97 is: 327,416.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,774.69 : 138,721.97 = 138,721.97 : x
  2. Step 2: Convert to fraction form
    58,774.69/138,721.97 = 138,721.97/x
  3. Step 3: Cross multiply
    58,774.69x = 138,721.97 × 138,721.97
  4. Step 4: Simplify right side
    58,774.69x = 19,243,784,613.88
  5. Step 5: Solve for x
    x = 19,243,784,613.88/58,774.69
  6. Step 6: Final answer
    x = 327,416.20

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.