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Finding the Third Proportional to 52,278.19 and 81,063.56

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Solution

The third proportional to 52,278.19 and 81,063.56 is: 125,698.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,278.19 : 81,063.56 = 81,063.56 : x
  2. Step 2: Convert to fraction form
    52,278.19/81,063.56 = 81,063.56/x
  3. Step 3: Cross multiply
    52,278.19x = 81,063.56 × 81,063.56
  4. Step 4: Simplify right side
    52,278.19x = 6,571,301,165.19
  5. Step 5: Solve for x
    x = 6,571,301,165.19/52,278.19
  6. Step 6: Final answer
    x = 125,698.72

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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.