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Finding the Third Proportional to 56,272 and 123,000

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Solution

The third proportional to 56,272 and 123,000 is: 268,854.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,272 : 123,000 = 123,000 : x
  2. Step 2: Convert to fraction form
    56,272/123,000 = 123,000/x
  3. Step 3: Cross multiply
    56,272x = 123,000 × 123,000
  4. Step 4: Simplify right side
    56,272x = 15,129,000,000
  5. Step 5: Solve for x
    x = 15,129,000,000/56,272
  6. Step 6: Final answer
    x = 268,854.85

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.