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Finding the Third Proportional to 56,390 and 123,943

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Solution

The third proportional to 56,390 and 123,943 is: 272,421.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,390 : 123,943 = 123,943 : x
  2. Step 2: Convert to fraction form
    56,390/123,943 = 123,943/x
  3. Step 3: Cross multiply
    56,390x = 123,943 × 123,943
  4. Step 4: Simplify right side
    56,390x = 15,361,867,249
  5. Step 5: Solve for x
    x = 15,361,867,249/56,390
  6. Step 6: Final answer
    x = 272,421.83

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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.