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Finding the Third Proportional to 110,038 and 148,593

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Solution

The third proportional to 110,038 and 148,593 is: 200,656.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,038 : 148,593 = 148,593 : x
  2. Step 2: Convert to fraction form
    110,038/148,593 = 148,593/x
  3. Step 3: Cross multiply
    110,038x = 148,593 × 148,593
  4. Step 4: Simplify right side
    110,038x = 22,079,879,649
  5. Step 5: Solve for x
    x = 22,079,879,649/110,038
  6. Step 6: Final answer
    x = 200,656.86

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.