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Finding the Third Proportional to 91,795 and 129,259

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Solution

The third proportional to 91,795 and 129,259 is: 182,013.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,795 : 129,259 = 129,259 : x
  2. Step 2: Convert to fraction form
    91,795/129,259 = 129,259/x
  3. Step 3: Cross multiply
    91,795x = 129,259 × 129,259
  4. Step 4: Simplify right side
    91,795x = 16,707,889,081
  5. Step 5: Solve for x
    x = 16,707,889,081/91,795
  6. Step 6: Final answer
    x = 182,013.06

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.