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Finding the Third Proportional to 110,352 and 169,080

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Solution

The third proportional to 110,352 and 169,080 is: 259,062.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,352 : 169,080 = 169,080 : x
  2. Step 2: Convert to fraction form
    110,352/169,080 = 169,080/x
  3. Step 3: Cross multiply
    110,352x = 169,080 × 169,080
  4. Step 4: Simplify right side
    110,352x = 28,588,046,400
  5. Step 5: Solve for x
    x = 28,588,046,400/110,352
  6. Step 6: Final answer
    x = 259,062.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.