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Finding the Third Proportional to 96,630 and 130,175

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Solution

The third proportional to 96,630 and 130,175 is: 175,365.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,630 : 130,175 = 130,175 : x
  2. Step 2: Convert to fraction form
    96,630/130,175 = 130,175/x
  3. Step 3: Cross multiply
    96,630x = 130,175 × 130,175
  4. Step 4: Simplify right side
    96,630x = 16,945,530,625
  5. Step 5: Solve for x
    x = 16,945,530,625/96,630
  6. Step 6: Final answer
    x = 175,365.11

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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.