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Finding the Third Proportional to 69,913.13 and 104,869.69

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Solution

The third proportional to 69,913.13 and 104,869.69 is: 157,304.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,913.13 : 104,869.69 = 104,869.69 : x
  2. Step 2: Convert to fraction form
    69,913.13/104,869.69 = 104,869.69/x
  3. Step 3: Cross multiply
    69,913.13x = 104,869.69 × 104,869.69
  4. Step 4: Simplify right side
    69,913.13x = 10,997,651,356.35
  5. Step 5: Solve for x
    x = 10,997,651,356.35/69,913.13
  6. Step 6: Final answer
    x = 157,304.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.