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Finding the Third Proportional to 71,317.97 and 110,371.36

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Solution

The third proportional to 71,317.97 and 110,371.36 is: 170,810.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,317.97 : 110,371.36 = 110,371.36 : x
  2. Step 2: Convert to fraction form
    71,317.97/110,371.36 = 110,371.36/x
  3. Step 3: Cross multiply
    71,317.97x = 110,371.36 × 110,371.36
  4. Step 4: Simplify right side
    71,317.97x = 12,181,836,970.29
  5. Step 5: Solve for x
    x = 12,181,836,970.29/71,317.97
  6. Step 6: Final answer
    x = 170,810.21

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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.