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Finding the Third Proportional to 58,169.61 and 126,329.68

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Solution

The third proportional to 58,169.61 and 126,329.68 is: 274,356.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,169.61 : 126,329.68 = 126,329.68 : x
  2. Step 2: Convert to fraction form
    58,169.61/126,329.68 = 126,329.68/x
  3. Step 3: Cross multiply
    58,169.61x = 126,329.68 × 126,329.68
  4. Step 4: Simplify right side
    58,169.61x = 15,959,189,141.95
  5. Step 5: Solve for x
    x = 15,959,189,141.95/58,169.61
  6. Step 6: Final answer
    x = 274,356.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.