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Finding the Third Proportional to 95,265 and 130,747.50

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Solution

The third proportional to 95,265 and 130,747.50 is: 179,445.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,265 : 130,747.50 = 130,747.50 : x
  2. Step 2: Convert to fraction form
    95,265/130,747.50 = 130,747.50/x
  3. Step 3: Cross multiply
    95,265x = 130,747.50 × 130,747.50
  4. Step 4: Simplify right side
    95,265x = 17,094,908,756.25
  5. Step 5: Solve for x
    x = 17,094,908,756.25/95,265
  6. Step 6: Final answer
    x = 179,445.85

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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.