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Finding the Third Proportional to 71,765 and 106,827

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Solution

The third proportional to 71,765 and 106,827 is: 159,019.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,765 : 106,827 = 106,827 : x
  2. Step 2: Convert to fraction form
    71,765/106,827 = 106,827/x
  3. Step 3: Cross multiply
    71,765x = 106,827 × 106,827
  4. Step 4: Simplify right side
    71,765x = 11,412,007,929
  5. Step 5: Solve for x
    x = 11,412,007,929/71,765
  6. Step 6: Final answer
    x = 159,019.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.