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Finding the Third Proportional to 124,677 and 186,967

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Solution

The third proportional to 124,677 and 186,967 is: 280,377.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,677 : 186,967 = 186,967 : x
  2. Step 2: Convert to fraction form
    124,677/186,967 = 186,967/x
  3. Step 3: Cross multiply
    124,677x = 186,967 × 186,967
  4. Step 4: Simplify right side
    124,677x = 34,956,659,089
  5. Step 5: Solve for x
    x = 34,956,659,089/124,677
  6. Step 6: Final answer
    x = 280,377.77

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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.