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Finding the Third Proportional to 56,275.50 and 85,842.75

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Solution

The third proportional to 56,275.50 and 85,842.75 is: 130,944.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,275.50 : 85,842.75 = 85,842.75 : x
  2. Step 2: Convert to fraction form
    56,275.50/85,842.75 = 85,842.75/x
  3. Step 3: Cross multiply
    56,275.50x = 85,842.75 × 85,842.75
  4. Step 4: Simplify right side
    56,275.50x = 7,368,977,727.56
  5. Step 5: Solve for x
    x = 7,368,977,727.56/56,275.50
  6. Step 6: Final answer
    x = 130,944.69

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.