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Finding the Third Proportional to 96,634 and 130,181

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Solution

The third proportional to 96,634 and 130,181 is: 175,374.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,634 : 130,181 = 130,181 : x
  2. Step 2: Convert to fraction form
    96,634/130,181 = 130,181/x
  3. Step 3: Cross multiply
    96,634x = 130,181 × 130,181
  4. Step 4: Simplify right side
    96,634x = 16,947,092,761
  5. Step 5: Solve for x
    x = 16,947,092,761/96,634
  6. Step 6: Final answer
    x = 175,374.02

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.