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Finding the Third Proportional to 56,084 and 123,550

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Solution

The third proportional to 56,084 and 123,550 is: 272,173.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,084 : 123,550 = 123,550 : x
  2. Step 2: Convert to fraction form
    56,084/123,550 = 123,550/x
  3. Step 3: Cross multiply
    56,084x = 123,550 × 123,550
  4. Step 4: Simplify right side
    56,084x = 15,264,602,500
  5. Step 5: Solve for x
    x = 15,264,602,500/56,084
  6. Step 6: Final answer
    x = 272,173.93

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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.