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Finding the Third Proportional to 57,219.75 and 86,442.19

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Solution

The third proportional to 57,219.75 and 86,442.19 is: 130,588.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,219.75 : 86,442.19 = 86,442.19 : x
  2. Step 2: Convert to fraction form
    57,219.75/86,442.19 = 86,442.19/x
  3. Step 3: Cross multiply
    57,219.75x = 86,442.19 × 86,442.19
  4. Step 4: Simplify right side
    57,219.75x = 7,472,251,779.79
  5. Step 5: Solve for x
    x = 7,472,251,779.79/57,219.75
  6. Step 6: Final answer
    x = 130,588.68

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.