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Finding the Third Proportional to 59,090 and 126,487

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Solution

The third proportional to 59,090 and 126,487 is: 270,755.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,090 : 126,487 = 126,487 : x
  2. Step 2: Convert to fraction form
    59,090/126,487 = 126,487/x
  3. Step 3: Cross multiply
    59,090x = 126,487 × 126,487
  4. Step 4: Simplify right side
    59,090x = 15,998,961,169
  5. Step 5: Solve for x
    x = 15,998,961,169/59,090
  6. Step 6: Final answer
    x = 270,755.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.