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Finding the Third Proportional to 75,548 and 160,069

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Solution

The third proportional to 75,548 and 160,069 is: 339,149.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,548 : 160,069 = 160,069 : x
  2. Step 2: Convert to fraction form
    75,548/160,069 = 160,069/x
  3. Step 3: Cross multiply
    75,548x = 160,069 × 160,069
  4. Step 4: Simplify right side
    75,548x = 25,622,084,761
  5. Step 5: Solve for x
    x = 25,622,084,761/75,548
  6. Step 6: Final answer
    x = 339,149.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.