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Finding the Third Proportional to 56,306 and 123,790

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Solution

The third proportional to 56,306 and 123,790 is: 272,155.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,306 : 123,790 = 123,790 : x
  2. Step 2: Convert to fraction form
    56,306/123,790 = 123,790/x
  3. Step 3: Cross multiply
    56,306x = 123,790 × 123,790
  4. Step 4: Simplify right side
    56,306x = 15,323,964,100
  5. Step 5: Solve for x
    x = 15,323,964,100/56,306
  6. Step 6: Final answer
    x = 272,155.08

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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.