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Finding the Third Proportional to 56,397 and 123,949.50

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Solution

The third proportional to 56,397 and 123,949.50 is: 272,416.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,397 : 123,949.50 = 123,949.50 : x
  2. Step 2: Convert to fraction form
    56,397/123,949.50 = 123,949.50/x
  3. Step 3: Cross multiply
    56,397x = 123,949.50 × 123,949.50
  4. Step 4: Simplify right side
    56,397x = 15,363,478,550.25
  5. Step 5: Solve for x
    x = 15,363,478,550.25/56,397
  6. Step 6: Final answer
    x = 272,416.59

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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.