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Finding the Third Proportional to 75,924 and 163,080

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Solution

The third proportional to 75,924 and 163,080 is: 350,285.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,924 : 163,080 = 163,080 : x
  2. Step 2: Convert to fraction form
    75,924/163,080 = 163,080/x
  3. Step 3: Cross multiply
    75,924x = 163,080 × 163,080
  4. Step 4: Simplify right side
    75,924x = 26,595,086,400
  5. Step 5: Solve for x
    x = 26,595,086,400/75,924
  6. Step 6: Final answer
    x = 350,285.63

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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.