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Finding the Third Proportional to 52,530.19 and 81,474.19

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Solution

The third proportional to 52,530.19 and 81,474.19 is: 126,366.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,530.19 : 81,474.19 = 81,474.19 : x
  2. Step 2: Convert to fraction form
    52,530.19/81,474.19 = 81,474.19/x
  3. Step 3: Cross multiply
    52,530.19x = 81,474.19 × 81,474.19
  4. Step 4: Simplify right side
    52,530.19x = 6,638,043,228.79
  5. Step 5: Solve for x
    x = 6,638,043,228.79/52,530.19
  6. Step 6: Final answer
    x = 126,366.26

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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.