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Finding the Third Proportional to 58,670 and 126,464

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Solution

The third proportional to 58,670 and 126,464 is: 272,594.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,670 : 126,464 = 126,464 : x
  2. Step 2: Convert to fraction form
    58,670/126,464 = 126,464/x
  3. Step 3: Cross multiply
    58,670x = 126,464 × 126,464
  4. Step 4: Simplify right side
    58,670x = 15,993,143,296
  5. Step 5: Solve for x
    x = 15,993,143,296/58,670
  6. Step 6: Final answer
    x = 272,594.91

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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.