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Finding the Third Proportional to 82,131 and 107,842.50

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Solution

The third proportional to 82,131 and 107,842.50 is: 141,603.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,131 : 107,842.50 = 107,842.50 : x
  2. Step 2: Convert to fraction form
    82,131/107,842.50 = 107,842.50/x
  3. Step 3: Cross multiply
    82,131x = 107,842.50 × 107,842.50
  4. Step 4: Simplify right side
    82,131x = 11,630,004,806.25
  5. Step 5: Solve for x
    x = 11,630,004,806.25/82,131
  6. Step 6: Final answer
    x = 141,603.11

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.