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Finding the Third Proportional to 82,871 and 127,536

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Solution

The third proportional to 82,871 and 127,536 is: 196,274.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,871 : 127,536 = 127,536 : x
  2. Step 2: Convert to fraction form
    82,871/127,536 = 127,536/x
  3. Step 3: Cross multiply
    82,871x = 127,536 × 127,536
  4. Step 4: Simplify right side
    82,871x = 16,265,431,296
  5. Step 5: Solve for x
    x = 16,265,431,296/82,871
  6. Step 6: Final answer
    x = 196,274.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.