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Finding the Third Proportional to 81,000 and 108,972

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Solution

The third proportional to 81,000 and 108,972 is: 146,603.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,000 : 108,972 = 108,972 : x
  2. Step 2: Convert to fraction form
    81,000/108,972 = 108,972/x
  3. Step 3: Cross multiply
    81,000x = 108,972 × 108,972
  4. Step 4: Simplify right side
    81,000x = 11,874,896,784
  5. Step 5: Solve for x
    x = 11,874,896,784/81,000
  6. Step 6: Final answer
    x = 146,603.66

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.