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Finding the Third Proportional to 47,566 and 112,489

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Solution

The third proportional to 47,566 and 112,489 is: 266,025.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,566 : 112,489 = 112,489 : x
  2. Step 2: Convert to fraction form
    47,566/112,489 = 112,489/x
  3. Step 3: Cross multiply
    47,566x = 112,489 × 112,489
  4. Step 4: Simplify right side
    47,566x = 12,653,775,121
  5. Step 5: Solve for x
    x = 12,653,775,121/47,566
  6. Step 6: Final answer
    x = 266,025.63

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.