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Finding the Third Proportional to 52,734.16 and 81,675.84

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Solution

The third proportional to 52,734.16 and 81,675.84 is: 126,501.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,734.16 : 81,675.84 = 81,675.84 : x
  2. Step 2: Convert to fraction form
    52,734.16/81,675.84 = 81,675.84/x
  3. Step 3: Cross multiply
    52,734.16x = 81,675.84 × 81,675.84
  4. Step 4: Simplify right side
    52,734.16x = 6,670,943,452.27
  5. Step 5: Solve for x
    x = 6,670,943,452.27/52,734.16
  6. Step 6: Final answer
    x = 126,501.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.