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Finding the Third Proportional to 110,913 and 170,655

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Solution

The third proportional to 110,913 and 170,655 is: 262,576.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,913 : 170,655 = 170,655 : x
  2. Step 2: Convert to fraction form
    110,913/170,655 = 170,655/x
  3. Step 3: Cross multiply
    110,913x = 170,655 × 170,655
  4. Step 4: Simplify right side
    110,913x = 29,123,129,025
  5. Step 5: Solve for x
    x = 29,123,129,025/110,913
  6. Step 6: Final answer
    x = 262,576.33

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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.