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Finding the Third Proportional to 69,033.75 and 109,113.75

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Solution

The third proportional to 69,033.75 and 109,113.75 is: 172,463.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,033.75 : 109,113.75 = 109,113.75 : x
  2. Step 2: Convert to fraction form
    69,033.75/109,113.75 = 109,113.75/x
  3. Step 3: Cross multiply
    69,033.75x = 109,113.75 × 109,113.75
  4. Step 4: Simplify right side
    69,033.75x = 11,905,810,439.06
  5. Step 5: Solve for x
    x = 11,905,810,439.06/69,033.75
  6. Step 6: Final answer
    x = 172,463.62

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.