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Finding the Third Proportional to 56,414 and 123,900

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Solution

The third proportional to 56,414 and 123,900 is: 272,117.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,414 : 123,900 = 123,900 : x
  2. Step 2: Convert to fraction form
    56,414/123,900 = 123,900/x
  3. Step 3: Cross multiply
    56,414x = 123,900 × 123,900
  4. Step 4: Simplify right side
    56,414x = 15,351,210,000
  5. Step 5: Solve for x
    x = 15,351,210,000/56,414
  6. Step 6: Final answer
    x = 272,117.03

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.