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Finding the Third Proportional to 124,508 and 186,887

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Solution

The third proportional to 124,508 and 186,887 is: 280,518.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,508 : 186,887 = 186,887 : x
  2. Step 2: Convert to fraction form
    124,508/186,887 = 186,887/x
  3. Step 3: Cross multiply
    124,508x = 186,887 × 186,887
  4. Step 4: Simplify right side
    124,508x = 34,926,750,769
  5. Step 5: Solve for x
    x = 34,926,750,769/124,508
  6. Step 6: Final answer
    x = 280,518.13

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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.