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Finding the Third Proportional to 110,165 and 148,639

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Solution

The third proportional to 110,165 and 148,639 is: 200,549.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,165 : 148,639 = 148,639 : x
  2. Step 2: Convert to fraction form
    110,165/148,639 = 148,639/x
  3. Step 3: Cross multiply
    110,165x = 148,639 × 148,639
  4. Step 4: Simplify right side
    110,165x = 22,093,552,321
  5. Step 5: Solve for x
    x = 22,093,552,321/110,165
  6. Step 6: Final answer
    x = 200,549.65

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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.