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Finding the Third Proportional to 52,350 and 83,381.25

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Solution

The third proportional to 52,350 and 83,381.25 is: 132,806.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,350 : 83,381.25 = 83,381.25 : x
  2. Step 2: Convert to fraction form
    52,350/83,381.25 = 83,381.25/x
  3. Step 3: Cross multiply
    52,350x = 83,381.25 × 83,381.25
  4. Step 4: Simplify right side
    52,350x = 6,952,432,851.56
  5. Step 5: Solve for x
    x = 6,952,432,851.56/52,350
  6. Step 6: Final answer
    x = 132,806.74

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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.