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Finding the Third Proportional to 56,513.25 and 85,497.75

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Solution

The third proportional to 56,513.25 and 85,497.75 is: 129,347.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,513.25 : 85,497.75 = 85,497.75 : x
  2. Step 2: Convert to fraction form
    56,513.25/85,497.75 = 85,497.75/x
  3. Step 3: Cross multiply
    56,513.25x = 85,497.75 × 85,497.75
  4. Step 4: Simplify right side
    56,513.25x = 7,309,865,255.06
  5. Step 5: Solve for x
    x = 7,309,865,255.06/56,513.25
  6. Step 6: Final answer
    x = 129,347.81

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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.