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Finding the Third Proportional to 99,684 and 148,662

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Solution

The third proportional to 99,684 and 148,662 is: 221,704.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,684 : 148,662 = 148,662 : x
  2. Step 2: Convert to fraction form
    99,684/148,662 = 148,662/x
  3. Step 3: Cross multiply
    99,684x = 148,662 × 148,662
  4. Step 4: Simplify right side
    99,684x = 22,100,390,244
  5. Step 5: Solve for x
    x = 22,100,390,244/99,684
  6. Step 6: Final answer
    x = 221,704.49

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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.