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Finding the Third Proportional to 57,464.44 and 86,275.13

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Solution

The third proportional to 57,464.44 and 86,275.13 is: 129,530.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,464.44 : 86,275.13 = 86,275.13 : x
  2. Step 2: Convert to fraction form
    57,464.44/86,275.13 = 86,275.13/x
  3. Step 3: Cross multiply
    57,464.44x = 86,275.13 × 86,275.13
  4. Step 4: Simplify right side
    57,464.44x = 7,443,397,193.77
  5. Step 5: Solve for x
    x = 7,443,397,193.77/57,464.44
  6. Step 6: Final answer
    x = 129,530.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.