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Finding the Third Proportional to 110,036 and 148,591

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Solution

The third proportional to 110,036 and 148,591 is: 200,655.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,036 : 148,591 = 148,591 : x
  2. Step 2: Convert to fraction form
    110,036/148,591 = 148,591/x
  3. Step 3: Cross multiply
    110,036x = 148,591 × 148,591
  4. Step 4: Simplify right side
    110,036x = 22,079,285,281
  5. Step 5: Solve for x
    x = 22,079,285,281/110,036
  6. Step 6: Final answer
    x = 200,655.11

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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.