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Finding the Third Proportional to 52,577 and 112,534

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Solution

The third proportional to 52,577 and 112,534 is: 240,863.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,577 : 112,534 = 112,534 : x
  2. Step 2: Convert to fraction form
    52,577/112,534 = 112,534/x
  3. Step 3: Cross multiply
    52,577x = 112,534 × 112,534
  4. Step 4: Simplify right side
    52,577x = 12,663,901,156
  5. Step 5: Solve for x
    x = 12,663,901,156/52,577
  6. Step 6: Final answer
    x = 240,863.90

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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.