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Finding the Third Proportional to 75,484 and 157,164

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Solution

The third proportional to 75,484 and 157,164 is: 327,228.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,484 : 157,164 = 157,164 : x
  2. Step 2: Convert to fraction form
    75,484/157,164 = 157,164/x
  3. Step 3: Cross multiply
    75,484x = 157,164 × 157,164
  4. Step 4: Simplify right side
    75,484x = 24,700,522,896
  5. Step 5: Solve for x
    x = 24,700,522,896/75,484
  6. Step 6: Final answer
    x = 327,228.59

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.