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Finding the Third Proportional to 112,937 and 165,166

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Solution

The third proportional to 112,937 and 165,166 is: 241,548.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,937 : 165,166 = 165,166 : x
  2. Step 2: Convert to fraction form
    112,937/165,166 = 165,166/x
  3. Step 3: Cross multiply
    112,937x = 165,166 × 165,166
  4. Step 4: Simplify right side
    112,937x = 27,279,807,556
  5. Step 5: Solve for x
    x = 27,279,807,556/112,937
  6. Step 6: Final answer
    x = 241,548.90

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.