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Finding the Third Proportional to 95,706 and 134,113

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Solution

The third proportional to 95,706 and 134,113 is: 187,932.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,706 : 134,113 = 134,113 : x
  2. Step 2: Convert to fraction form
    95,706/134,113 = 134,113/x
  3. Step 3: Cross multiply
    95,706x = 134,113 × 134,113
  4. Step 4: Simplify right side
    95,706x = 17,986,296,769
  5. Step 5: Solve for x
    x = 17,986,296,769/95,706
  6. Step 6: Final answer
    x = 187,932.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.