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Finding the Third Proportional to 71,305.31 and 110,025.84

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Solution

The third proportional to 71,305.31 and 110,025.84 is: 169,772.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,305.31 : 110,025.84 = 110,025.84 : x
  2. Step 2: Convert to fraction form
    71,305.31/110,025.84 = 110,025.84/x
  3. Step 3: Cross multiply
    71,305.31x = 110,025.84 × 110,025.84
  4. Step 4: Simplify right side
    71,305.31x = 12,105,686,292.90
  5. Step 5: Solve for x
    x = 12,105,686,292.90/71,305.31
  6. Step 6: Final answer
    x = 169,772.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.