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Finding the Third Proportional to 109,606 and 148,532

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Solution

The third proportional to 109,606 and 148,532 is: 201,282.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,606 : 148,532 = 148,532 : x
  2. Step 2: Convert to fraction form
    109,606/148,532 = 148,532/x
  3. Step 3: Cross multiply
    109,606x = 148,532 × 148,532
  4. Step 4: Simplify right side
    109,606x = 22,061,755,024
  5. Step 5: Solve for x
    x = 22,061,755,024/109,606
  6. Step 6: Final answer
    x = 201,282.37

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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.