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Finding the Third Proportional to 97,816 and 146,664

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Solution

The third proportional to 97,816 and 146,664 is: 219,906.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,816 : 146,664 = 146,664 : x
  2. Step 2: Convert to fraction form
    97,816/146,664 = 146,664/x
  3. Step 3: Cross multiply
    97,816x = 146,664 × 146,664
  4. Step 4: Simplify right side
    97,816x = 21,510,328,896
  5. Step 5: Solve for x
    x = 21,510,328,896/97,816
  6. Step 6: Final answer
    x = 219,906.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.