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Finding the Third Proportional to 58,614 and 126,354

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Solution

The third proportional to 58,614 and 126,354 is: 272,380.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,614 : 126,354 = 126,354 : x
  2. Step 2: Convert to fraction form
    58,614/126,354 = 126,354/x
  3. Step 3: Cross multiply
    58,614x = 126,354 × 126,354
  4. Step 4: Simplify right side
    58,614x = 15,965,333,316
  5. Step 5: Solve for x
    x = 15,965,333,316/58,614
  6. Step 6: Final answer
    x = 272,380.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.