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Finding the Third Proportional to 124,594 and 186,850

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Solution

The third proportional to 124,594 and 186,850 is: 280,213.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,594 : 186,850 = 186,850 : x
  2. Step 2: Convert to fraction form
    124,594/186,850 = 186,850/x
  3. Step 3: Cross multiply
    124,594x = 186,850 × 186,850
  4. Step 4: Simplify right side
    124,594x = 34,912,922,500
  5. Step 5: Solve for x
    x = 34,912,922,500/124,594
  6. Step 6: Final answer
    x = 280,213.51

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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.