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Finding the Third Proportional to 69,381 and 103,092.75

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Solution

The third proportional to 69,381 and 103,092.75 is: 153,184.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,381 : 103,092.75 = 103,092.75 : x
  2. Step 2: Convert to fraction form
    69,381/103,092.75 = 103,092.75/x
  3. Step 3: Cross multiply
    69,381x = 103,092.75 × 103,092.75
  4. Step 4: Simplify right side
    69,381x = 10,628,115,102.56
  5. Step 5: Solve for x
    x = 10,628,115,102.56/69,381
  6. Step 6: Final answer
    x = 153,184.81

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Why These Related Problems?

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