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Finding the Third Proportional to 124,874 and 191,487

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Solution

The third proportional to 124,874 and 191,487 is: 293,634.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,874 : 191,487 = 191,487 : x
  2. Step 2: Convert to fraction form
    124,874/191,487 = 191,487/x
  3. Step 3: Cross multiply
    124,874x = 191,487 × 191,487
  4. Step 4: Simplify right side
    124,874x = 36,667,271,169
  5. Step 5: Solve for x
    x = 36,667,271,169/124,874
  6. Step 6: Final answer
    x = 293,634.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.