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Finding the Third Proportional to 75,979.48 and 165,337.45

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Solution

The third proportional to 75,979.48 and 165,337.45 is: 359,787.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,979.48 : 165,337.45 = 165,337.45 : x
  2. Step 2: Convert to fraction form
    75,979.48/165,337.45 = 165,337.45/x
  3. Step 3: Cross multiply
    75,979.48x = 165,337.45 × 165,337.45
  4. Step 4: Simplify right side
    75,979.48x = 27,336,473,405.86
  5. Step 5: Solve for x
    x = 27,336,473,405.86/75,979.48
  6. Step 6: Final answer
    x = 359,787.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.