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Finding the Third Proportional to 111,846 and 169,209

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Solution

The third proportional to 111,846 and 169,209 is: 255,992.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,846 : 169,209 = 169,209 : x
  2. Step 2: Convert to fraction form
    111,846/169,209 = 169,209/x
  3. Step 3: Cross multiply
    111,846x = 169,209 × 169,209
  4. Step 4: Simplify right side
    111,846x = 28,631,685,681
  5. Step 5: Solve for x
    x = 28,631,685,681/111,846
  6. Step 6: Final answer
    x = 255,992.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.