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Finding the Third Proportional to 81,034 and 128,211

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Solution

The third proportional to 81,034 and 128,211 is: 202,853.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,034 : 128,211 = 128,211 : x
  2. Step 2: Convert to fraction form
    81,034/128,211 = 128,211/x
  3. Step 3: Cross multiply
    81,034x = 128,211 × 128,211
  4. Step 4: Simplify right side
    81,034x = 16,438,060,521
  5. Step 5: Solve for x
    x = 16,438,060,521/81,034
  6. Step 6: Final answer
    x = 202,853.87

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.