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Finding the Third Proportional to 116,129 and 169,711

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Solution

The third proportional to 116,129 and 169,711 is: 248,015.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,129 : 169,711 = 169,711 : x
  2. Step 2: Convert to fraction form
    116,129/169,711 = 169,711/x
  3. Step 3: Cross multiply
    116,129x = 169,711 × 169,711
  4. Step 4: Simplify right side
    116,129x = 28,801,823,521
  5. Step 5: Solve for x
    x = 28,801,823,521/116,129
  6. Step 6: Final answer
    x = 248,015.77

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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.