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Finding the Third Proportional to 58,570 and 126,292

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Solution

The third proportional to 58,570 and 126,292 is: 272,318.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,570 : 126,292 = 126,292 : x
  2. Step 2: Convert to fraction form
    58,570/126,292 = 126,292/x
  3. Step 3: Cross multiply
    58,570x = 126,292 × 126,292
  4. Step 4: Simplify right side
    58,570x = 15,949,669,264
  5. Step 5: Solve for x
    x = 15,949,669,264/58,570
  6. Step 6: Final answer
    x = 272,318.07

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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.