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Finding the Third Proportional to 124,598 and 186,381

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Solution

The third proportional to 124,598 and 186,381 is: 278,799.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,598 : 186,381 = 186,381 : x
  2. Step 2: Convert to fraction form
    124,598/186,381 = 186,381/x
  3. Step 3: Cross multiply
    124,598x = 186,381 × 186,381
  4. Step 4: Simplify right side
    124,598x = 34,737,877,161
  5. Step 5: Solve for x
    x = 34,737,877,161/124,598
  6. Step 6: Final answer
    x = 278,799.64

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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.