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Finding the Third Proportional to 56,120 and 123,310

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Solution

The third proportional to 56,120 and 123,310 is: 270,943.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,120 : 123,310 = 123,310 : x
  2. Step 2: Convert to fraction form
    56,120/123,310 = 123,310/x
  3. Step 3: Cross multiply
    56,120x = 123,310 × 123,310
  4. Step 4: Simplify right side
    56,120x = 15,205,356,100
  5. Step 5: Solve for x
    x = 15,205,356,100/56,120
  6. Step 6: Final answer
    x = 270,943.62

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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.