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Finding the Third Proportional to 111,888 and 170,754

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Solution

The third proportional to 111,888 and 170,754 is: 260,590.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,888 : 170,754 = 170,754 : x
  2. Step 2: Convert to fraction form
    111,888/170,754 = 170,754/x
  3. Step 3: Cross multiply
    111,888x = 170,754 × 170,754
  4. Step 4: Simplify right side
    111,888x = 29,156,928,516
  5. Step 5: Solve for x
    x = 29,156,928,516/111,888
  6. Step 6: Final answer
    x = 260,590.31

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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.