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Finding the Third Proportional to 90,922.50 and 144,379.13

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Solution

The third proportional to 90,922.50 and 144,379.13 is: 229,264.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,922.50 : 144,379.13 = 144,379.13 : x
  2. Step 2: Convert to fraction form
    90,922.50/144,379.13 = 144,379.13/x
  3. Step 3: Cross multiply
    90,922.50x = 144,379.13 × 144,379.13
  4. Step 4: Simplify right side
    90,922.50x = 20,845,331,735.77
  5. Step 5: Solve for x
    x = 20,845,331,735.77/90,922.50
  6. Step 6: Final answer
    x = 229,264.83

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.