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Finding the Third Proportional to 100,859.50 and 137,045

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Solution

The third proportional to 100,859.50 and 137,045 is: 186,212.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,859.50 : 137,045 = 137,045 : x
  2. Step 2: Convert to fraction form
    100,859.50/137,045 = 137,045/x
  3. Step 3: Cross multiply
    100,859.50x = 137,045 × 137,045
  4. Step 4: Simplify right side
    100,859.50x = 18,781,332,025
  5. Step 5: Solve for x
    x = 18,781,332,025/100,859.50
  6. Step 6: Final answer
    x = 186,212.82

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.