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Finding the Third Proportional to 110,912 and 170,478

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Solution

The third proportional to 110,912 and 170,478 is: 262,034.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,912 : 170,478 = 170,478 : x
  2. Step 2: Convert to fraction form
    110,912/170,478 = 170,478/x
  3. Step 3: Cross multiply
    110,912x = 170,478 × 170,478
  4. Step 4: Simplify right side
    110,912x = 29,062,748,484
  5. Step 5: Solve for x
    x = 29,062,748,484/110,912
  6. Step 6: Final answer
    x = 262,034.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.