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Finding the Third Proportional to 110,138 and 170,403

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Solution

The third proportional to 110,138 and 170,403 is: 263,643.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,138 : 170,403 = 170,403 : x
  2. Step 2: Convert to fraction form
    110,138/170,403 = 170,403/x
  3. Step 3: Cross multiply
    110,138x = 170,403 × 170,403
  4. Step 4: Simplify right side
    110,138x = 29,037,182,409
  5. Step 5: Solve for x
    x = 29,037,182,409/110,138
  6. Step 6: Final answer
    x = 263,643.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.