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Finding the Third Proportional to 129,902 and 194,871

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Solution

The third proportional to 129,902 and 194,871 is: 292,333.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,902 : 194,871 = 194,871 : x
  2. Step 2: Convert to fraction form
    129,902/194,871 = 194,871/x
  3. Step 3: Cross multiply
    129,902x = 194,871 × 194,871
  4. Step 4: Simplify right side
    129,902x = 37,974,706,641
  5. Step 5: Solve for x
    x = 37,974,706,641/129,902
  6. Step 6: Final answer
    x = 292,333.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.