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Finding the Third Proportional to 83,770 and 125,835

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Solution

The third proportional to 83,770 and 125,835 is: 189,022.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,770 : 125,835 = 125,835 : x
  2. Step 2: Convert to fraction form
    83,770/125,835 = 125,835/x
  3. Step 3: Cross multiply
    83,770x = 125,835 × 125,835
  4. Step 4: Simplify right side
    83,770x = 15,834,447,225
  5. Step 5: Solve for x
    x = 15,834,447,225/83,770
  6. Step 6: Final answer
    x = 189,022.89

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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.