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Finding the Third Proportional to 68,502.75 and 107,488.50

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Solution

The third proportional to 68,502.75 and 107,488.50 is: 168,661.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,502.75 : 107,488.50 = 107,488.50 : x
  2. Step 2: Convert to fraction form
    68,502.75/107,488.50 = 107,488.50/x
  3. Step 3: Cross multiply
    68,502.75x = 107,488.50 × 107,488.50
  4. Step 4: Simplify right side
    68,502.75x = 11,553,777,632.25
  5. Step 5: Solve for x
    x = 11,553,777,632.25/68,502.75
  6. Step 6: Final answer
    x = 168,661.52

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.