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Finding the Third Proportional to 82,802 and 127,428

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Solution

The third proportional to 82,802 and 127,428 is: 196,105.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,802 : 127,428 = 127,428 : x
  2. Step 2: Convert to fraction form
    82,802/127,428 = 127,428/x
  3. Step 3: Cross multiply
    82,802x = 127,428 × 127,428
  4. Step 4: Simplify right side
    82,802x = 16,237,895,184
  5. Step 5: Solve for x
    x = 16,237,895,184/82,802
  6. Step 6: Final answer
    x = 196,105.11

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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.