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Finding the Third Proportional to 75,597 and 164,074

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Solution

The third proportional to 75,597 and 164,074 is: 356,102.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,597 : 164,074 = 164,074 : x
  2. Step 2: Convert to fraction form
    75,597/164,074 = 164,074/x
  3. Step 3: Cross multiply
    75,597x = 164,074 × 164,074
  4. Step 4: Simplify right side
    75,597x = 26,920,277,476
  5. Step 5: Solve for x
    x = 26,920,277,476/75,597
  6. Step 6: Final answer
    x = 356,102.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.