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Finding the Third Proportional to 124,389 and 186,387.38

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Solution

The third proportional to 124,389 and 186,387.38 is: 279,287.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,389 : 186,387.38 = 186,387.38 : x
  2. Step 2: Convert to fraction form
    124,389/186,387.38 = 186,387.38/x
  3. Step 3: Cross multiply
    124,389x = 186,387.38 × 186,387.38
  4. Step 4: Simplify right side
    124,389x = 34,740,253,559.39
  5. Step 5: Solve for x
    x = 34,740,253,559.39/124,389
  6. Step 6: Final answer
    x = 279,287.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.