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Finding the Third Proportional to 95,277 and 130,765.50

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Solution

The third proportional to 95,277 and 130,765.50 is: 179,472.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,277 : 130,765.50 = 130,765.50 : x
  2. Step 2: Convert to fraction form
    95,277/130,765.50 = 130,765.50/x
  3. Step 3: Cross multiply
    95,277x = 130,765.50 × 130,765.50
  4. Step 4: Simplify right side
    95,277x = 17,099,615,990.25
  5. Step 5: Solve for x
    x = 17,099,615,990.25/95,277
  6. Step 6: Final answer
    x = 179,472.65

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.