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Finding the Third Proportional to 75,853.50 and 165,080

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Solution

The third proportional to 75,853.50 and 165,080 is: 359,263.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,853.50 : 165,080 = 165,080 : x
  2. Step 2: Convert to fraction form
    75,853.50/165,080 = 165,080/x
  3. Step 3: Cross multiply
    75,853.50x = 165,080 × 165,080
  4. Step 4: Simplify right side
    75,853.50x = 27,251,406,400
  5. Step 5: Solve for x
    x = 27,251,406,400/75,853.50
  6. Step 6: Final answer
    x = 359,263.66

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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.