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Finding the Third Proportional to 124,508 and 186,886

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Solution

The third proportional to 124,508 and 186,886 is: 280,515.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,508 : 186,886 = 186,886 : x
  2. Step 2: Convert to fraction form
    124,508/186,886 = 186,886/x
  3. Step 3: Cross multiply
    124,508x = 186,886 × 186,886
  4. Step 4: Simplify right side
    124,508x = 34,926,376,996
  5. Step 5: Solve for x
    x = 34,926,376,996/124,508
  6. Step 6: Final answer
    x = 280,515.12

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Why These Related Problems?

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