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Finding the Third Proportional to 69,070.97 and 103,179.84

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Solution

The third proportional to 69,070.97 and 103,179.84 is: 154,132.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,070.97 : 103,179.84 = 103,179.84 : x
  2. Step 2: Convert to fraction form
    69,070.97/103,179.84 = 103,179.84/x
  3. Step 3: Cross multiply
    69,070.97x = 103,179.84 × 103,179.84
  4. Step 4: Simplify right side
    69,070.97x = 10,646,079,551.70
  5. Step 5: Solve for x
    x = 10,646,079,551.70/69,070.97
  6. Step 6: Final answer
    x = 154,132.47

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.