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Finding the Third Proportional to 111,301 and 170,633

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Solution

The third proportional to 111,301 and 170,633 is: 261,593.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,301 : 170,633 = 170,633 : x
  2. Step 2: Convert to fraction form
    111,301/170,633 = 170,633/x
  3. Step 3: Cross multiply
    111,301x = 170,633 × 170,633
  4. Step 4: Simplify right side
    111,301x = 29,115,620,689
  5. Step 5: Solve for x
    x = 29,115,620,689/111,301
  6. Step 6: Final answer
    x = 261,593.52

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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.