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Finding the Third Proportional to 41,561 and 88,313

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Solution

The third proportional to 41,561 and 88,313 is: 187,656.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,561 : 88,313 = 88,313 : x
  2. Step 2: Convert to fraction form
    41,561/88,313 = 88,313/x
  3. Step 3: Cross multiply
    41,561x = 88,313 × 88,313
  4. Step 4: Simplify right side
    41,561x = 7,799,185,969
  5. Step 5: Solve for x
    x = 7,799,185,969/41,561
  6. Step 6: Final answer
    x = 187,656.36

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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.