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Finding the Third Proportional to 86,629 and 129,590

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Solution

The third proportional to 86,629 and 129,590 is: 193,856.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,629 : 129,590 = 129,590 : x
  2. Step 2: Convert to fraction form
    86,629/129,590 = 129,590/x
  3. Step 3: Cross multiply
    86,629x = 129,590 × 129,590
  4. Step 4: Simplify right side
    86,629x = 16,793,568,100
  5. Step 5: Solve for x
    x = 16,793,568,100/86,629
  6. Step 6: Final answer
    x = 193,856.19

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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.