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Finding the Third Proportional to 124,478 and 186,808

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Solution

The third proportional to 124,478 and 186,808 is: 280,348.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,478 : 186,808 = 186,808 : x
  2. Step 2: Convert to fraction form
    124,478/186,808 = 186,808/x
  3. Step 3: Cross multiply
    124,478x = 186,808 × 186,808
  4. Step 4: Simplify right side
    124,478x = 34,897,228,864
  5. Step 5: Solve for x
    x = 34,897,228,864/124,478
  6. Step 6: Final answer
    x = 280,348.57

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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.