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Finding the Third Proportional to 82,231.88 and 120,430.13

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Solution

The third proportional to 82,231.88 and 120,430.13 is: 176,372.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,231.88 : 120,430.13 = 120,430.13 : x
  2. Step 2: Convert to fraction form
    82,231.88/120,430.13 = 120,430.13/x
  3. Step 3: Cross multiply
    82,231.88x = 120,430.13 × 120,430.13
  4. Step 4: Simplify right side
    82,231.88x = 14,503,415,007.52
  5. Step 5: Solve for x
    x = 14,503,415,007.52/82,231.88
  6. Step 6: Final answer
    x = 176,372.18

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.