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Finding the Third Proportional to 109,662 and 148,599

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Solution

The third proportional to 109,662 and 148,599 is: 201,361.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,662 : 148,599 = 148,599 : x
  2. Step 2: Convert to fraction form
    109,662/148,599 = 148,599/x
  3. Step 3: Cross multiply
    109,662x = 148,599 × 148,599
  4. Step 4: Simplify right side
    109,662x = 22,081,662,801
  5. Step 5: Solve for x
    x = 22,081,662,801/109,662
  6. Step 6: Final answer
    x = 201,361.12

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.