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Finding the Third Proportional to 124,416 and 186,624

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Solution

The third proportional to 124,416 and 186,624 is: 279,936

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,416 : 186,624 = 186,624 : x
  2. Step 2: Convert to fraction form
    124,416/186,624 = 186,624/x
  3. Step 3: Cross multiply
    124,416x = 186,624 × 186,624
  4. Step 4: Simplify right side
    124,416x = 34,828,517,376
  5. Step 5: Solve for x
    x = 34,828,517,376/124,416
  6. Step 6: Final answer
    x = 279,936

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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.