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Finding the Third Proportional to 82,812 and 127,588

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Solution

The third proportional to 82,812 and 127,588 is: 196,574.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,812 : 127,588 = 127,588 : x
  2. Step 2: Convert to fraction form
    82,812/127,588 = 127,588/x
  3. Step 3: Cross multiply
    82,812x = 127,588 × 127,588
  4. Step 4: Simplify right side
    82,812x = 16,278,697,744
  5. Step 5: Solve for x
    x = 16,278,697,744/82,812
  6. Step 6: Final answer
    x = 196,574.14

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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.