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Finding the Third Proportional to 56,417 and 123,905

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Solution

The third proportional to 56,417 and 123,905 is: 272,124.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,417 : 123,905 = 123,905 : x
  2. Step 2: Convert to fraction form
    56,417/123,905 = 123,905/x
  3. Step 3: Cross multiply
    56,417x = 123,905 × 123,905
  4. Step 4: Simplify right side
    56,417x = 15,352,449,025
  5. Step 5: Solve for x
    x = 15,352,449,025/56,417
  6. Step 6: Final answer
    x = 272,124.52

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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.