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Finding the Third Proportional to 124,416 and 186,948

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Solution

The third proportional to 124,416 and 186,948 is: 280,908.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,416 : 186,948 = 186,948 : x
  2. Step 2: Convert to fraction form
    124,416/186,948 = 186,948/x
  3. Step 3: Cross multiply
    124,416x = 186,948 × 186,948
  4. Step 4: Simplify right side
    124,416x = 34,949,554,704
  5. Step 5: Solve for x
    x = 34,949,554,704/124,416
  6. Step 6: Final answer
    x = 280,908.84

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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.