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Finding the Third Proportional to 82,746 and 127,864

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Solution

The third proportional to 82,746 and 127,864 is: 197,582.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,746 : 127,864 = 127,864 : x
  2. Step 2: Convert to fraction form
    82,746/127,864 = 127,864/x
  3. Step 3: Cross multiply
    82,746x = 127,864 × 127,864
  4. Step 4: Simplify right side
    82,746x = 16,349,202,496
  5. Step 5: Solve for x
    x = 16,349,202,496/82,746
  6. Step 6: Final answer
    x = 197,582.99

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.