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Finding the Third Proportional to 124,498 and 186,837

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Solution

The third proportional to 124,498 and 186,837 is: 280,390.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,498 : 186,837 = 186,837 : x
  2. Step 2: Convert to fraction form
    124,498/186,837 = 186,837/x
  3. Step 3: Cross multiply
    124,498x = 186,837 × 186,837
  4. Step 4: Simplify right side
    124,498x = 34,908,064,569
  5. Step 5: Solve for x
    x = 34,908,064,569/124,498
  6. Step 6: Final answer
    x = 280,390.57

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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.