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Finding the Third Proportional to 83,143 and 125,585

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Solution

The third proportional to 83,143 and 125,585 is: 189,692.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,143 : 125,585 = 125,585 : x
  2. Step 2: Convert to fraction form
    83,143/125,585 = 125,585/x
  3. Step 3: Cross multiply
    83,143x = 125,585 × 125,585
  4. Step 4: Simplify right side
    83,143x = 15,771,592,225
  5. Step 5: Solve for x
    x = 15,771,592,225/83,143
  6. Step 6: Final answer
    x = 189,692.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.