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Finding the Third Proportional to 97,128 and 131,231.25

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Solution

The third proportional to 97,128 and 131,231.25 is: 177,308.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,128 : 131,231.25 = 131,231.25 : x
  2. Step 2: Convert to fraction form
    97,128/131,231.25 = 131,231.25/x
  3. Step 3: Cross multiply
    97,128x = 131,231.25 × 131,231.25
  4. Step 4: Simplify right side
    97,128x = 17,221,640,976.56
  5. Step 5: Solve for x
    x = 17,221,640,976.56/97,128
  6. Step 6: Final answer
    x = 177,308.72

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