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Finding the Third Proportional to 57,539.25 and 91,595.25

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Solution

The third proportional to 57,539.25 and 91,595.25 is: 145,808.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,539.25 : 91,595.25 = 91,595.25 : x
  2. Step 2: Convert to fraction form
    57,539.25/91,595.25 = 91,595.25/x
  3. Step 3: Cross multiply
    57,539.25x = 91,595.25 × 91,595.25
  4. Step 4: Simplify right side
    57,539.25x = 8,389,689,822.56
  5. Step 5: Solve for x
    x = 8,389,689,822.56/57,539.25
  6. Step 6: Final answer
    x = 145,808.12

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.