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Finding the Third Proportional to 124,494 and 189,621

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Solution

The third proportional to 124,494 and 189,621 is: 288,818.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,494 : 189,621 = 189,621 : x
  2. Step 2: Convert to fraction form
    124,494/189,621 = 189,621/x
  3. Step 3: Cross multiply
    124,494x = 189,621 × 189,621
  4. Step 4: Simplify right side
    124,494x = 35,956,123,641
  5. Step 5: Solve for x
    x = 35,956,123,641/124,494
  6. Step 6: Final answer
    x = 288,818.12

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.