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Finding the Third Proportional to 124,840 and 187,068

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Solution

The third proportional to 124,840 and 187,068 is: 280,314.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,840 : 187,068 = 187,068 : x
  2. Step 2: Convert to fraction form
    124,840/187,068 = 187,068/x
  3. Step 3: Cross multiply
    124,840x = 187,068 × 187,068
  4. Step 4: Simplify right side
    124,840x = 34,994,436,624
  5. Step 5: Solve for x
    x = 34,994,436,624/124,840
  6. Step 6: Final answer
    x = 280,314.30

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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.