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Finding the Third Proportional to 75,952.69 and 163,591.88

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Solution

The third proportional to 75,952.69 and 163,591.88 is: 352,354.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,952.69 : 163,591.88 = 163,591.88 : x
  2. Step 2: Convert to fraction form
    75,952.69/163,591.88 = 163,591.88/x
  3. Step 3: Cross multiply
    75,952.69x = 163,591.88 × 163,591.88
  4. Step 4: Simplify right side
    75,952.69x = 26,762,301,566.02
  5. Step 5: Solve for x
    x = 26,762,301,566.02/75,952.69
  6. Step 6: Final answer
    x = 352,354.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.