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Finding the Third Proportional to 83,702 and 130,629

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Solution

The third proportional to 83,702 and 130,629 is: 203,865.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,702 : 130,629 = 130,629 : x
  2. Step 2: Convert to fraction form
    83,702/130,629 = 130,629/x
  3. Step 3: Cross multiply
    83,702x = 130,629 × 130,629
  4. Step 4: Simplify right side
    83,702x = 17,063,935,641
  5. Step 5: Solve for x
    x = 17,063,935,641/83,702
  6. Step 6: Final answer
    x = 203,865.33

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.