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Finding the Third Proportional to 57,259 and 85,625.25

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Solution

The third proportional to 57,259 and 85,625.25 is: 128,044.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,259 : 85,625.25 = 85,625.25 : x
  2. Step 2: Convert to fraction form
    57,259/85,625.25 = 85,625.25/x
  3. Step 3: Cross multiply
    57,259x = 85,625.25 × 85,625.25
  4. Step 4: Simplify right side
    57,259x = 7,331,683,437.56
  5. Step 5: Solve for x
    x = 7,331,683,437.56/57,259
  6. Step 6: Final answer
    x = 128,044.21

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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.