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Finding the Third Proportional to 59,617 and 126,341

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Solution

The third proportional to 59,617 and 126,341 is: 267,743.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,617 : 126,341 = 126,341 : x
  2. Step 2: Convert to fraction form
    59,617/126,341 = 126,341/x
  3. Step 3: Cross multiply
    59,617x = 126,341 × 126,341
  4. Step 4: Simplify right side
    59,617x = 15,962,048,281
  5. Step 5: Solve for x
    x = 15,962,048,281/59,617
  6. Step 6: Final answer
    x = 267,743.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.