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Finding the Third Proportional to 83,376 and 124,835

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Solution

The third proportional to 83,376 and 124,835 is: 186,909.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,376 : 124,835 = 124,835 : x
  2. Step 2: Convert to fraction form
    83,376/124,835 = 124,835/x
  3. Step 3: Cross multiply
    83,376x = 124,835 × 124,835
  4. Step 4: Simplify right side
    83,376x = 15,583,777,225
  5. Step 5: Solve for x
    x = 15,583,777,225/83,376
  6. Step 6: Final answer
    x = 186,909.63

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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.