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Finding the Third Proportional to 129,156 and 194,478

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Solution

The third proportional to 129,156 and 194,478 is: 292,837.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,156 : 194,478 = 194,478 : x
  2. Step 2: Convert to fraction form
    129,156/194,478 = 194,478/x
  3. Step 3: Cross multiply
    129,156x = 194,478 × 194,478
  4. Step 4: Simplify right side
    129,156x = 37,821,692,484
  5. Step 5: Solve for x
    x = 37,821,692,484/129,156
  6. Step 6: Final answer
    x = 292,837.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.