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Finding the Third Proportional to 83,213 and 125,882

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Solution

The third proportional to 83,213 and 125,882 is: 190,430.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,213 : 125,882 = 125,882 : x
  2. Step 2: Convert to fraction form
    83,213/125,882 = 125,882/x
  3. Step 3: Cross multiply
    83,213x = 125,882 × 125,882
  4. Step 4: Simplify right side
    83,213x = 15,846,277,924
  5. Step 5: Solve for x
    x = 15,846,277,924/83,213
  6. Step 6: Final answer
    x = 190,430.32

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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.