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Finding the Third Proportional to 110,479 and 170,032

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Solution

The third proportional to 110,479 and 170,032 is: 261,686.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,479 : 170,032 = 170,032 : x
  2. Step 2: Convert to fraction form
    110,479/170,032 = 170,032/x
  3. Step 3: Cross multiply
    110,479x = 170,032 × 170,032
  4. Step 4: Simplify right side
    110,479x = 28,910,881,024
  5. Step 5: Solve for x
    x = 28,910,881,024/110,479
  6. Step 6: Final answer
    x = 261,686.66

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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.