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Finding the Third Proportional to 41,463 and 88,577

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Solution

The third proportional to 41,463 and 88,577 is: 189,226.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,463 : 88,577 = 88,577 : x
  2. Step 2: Convert to fraction form
    41,463/88,577 = 88,577/x
  3. Step 3: Cross multiply
    41,463x = 88,577 × 88,577
  4. Step 4: Simplify right side
    41,463x = 7,845,884,929
  5. Step 5: Solve for x
    x = 7,845,884,929/41,463
  6. Step 6: Final answer
    x = 189,226.18

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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.