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Finding the Third Proportional to 48,701.75 and 87,460.75

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Solution

The third proportional to 48,701.75 and 87,460.75 is: 157,065.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,701.75 : 87,460.75 = 87,460.75 : x
  2. Step 2: Convert to fraction form
    48,701.75/87,460.75 = 87,460.75/x
  3. Step 3: Cross multiply
    48,701.75x = 87,460.75 × 87,460.75
  4. Step 4: Simplify right side
    48,701.75x = 7,649,382,790.56
  5. Step 5: Solve for x
    x = 7,649,382,790.56/48,701.75
  6. Step 6: Final answer
    x = 157,065.87

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These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.