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Finding the Third Proportional to 56,386 and 123,934

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Solution

The third proportional to 56,386 and 123,934 is: 272,401.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,386 : 123,934 = 123,934 : x
  2. Step 2: Convert to fraction form
    56,386/123,934 = 123,934/x
  3. Step 3: Cross multiply
    56,386x = 123,934 × 123,934
  4. Step 4: Simplify right side
    56,386x = 15,359,636,356
  5. Step 5: Solve for x
    x = 15,359,636,356/56,386
  6. Step 6: Final answer
    x = 272,401.60

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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.