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Finding the Third Proportional to 69,329.25 and 106,930.97

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Solution

The third proportional to 69,329.25 and 106,930.97 is: 164,926.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,329.25 : 106,930.97 = 106,930.97 : x
  2. Step 2: Convert to fraction form
    69,329.25/106,930.97 = 106,930.97/x
  3. Step 3: Cross multiply
    69,329.25x = 106,930.97 × 106,930.97
  4. Step 4: Simplify right side
    69,329.25x = 11,434,232,077.81
  5. Step 5: Solve for x
    x = 11,434,232,077.81/69,329.25
  6. Step 6: Final answer
    x = 164,926.52

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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.