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Finding the Third Proportional to 69,137.30 and 104,341.92

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Solution

The third proportional to 69,137.30 and 104,341.92 is: 157,472.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,137.30 : 104,341.92 = 104,341.92 : x
  2. Step 2: Convert to fraction form
    69,137.30/104,341.92 = 104,341.92/x
  3. Step 3: Cross multiply
    69,137.30x = 104,341.92 × 104,341.92
  4. Step 4: Simplify right side
    69,137.30x = 10,887,236,660.57
  5. Step 5: Solve for x
    x = 10,887,236,660.57/69,137.30
  6. Step 6: Final answer
    x = 157,472.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.