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Finding the Third Proportional to 109,469 and 169,037

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Solution

The third proportional to 109,469 and 169,037 is: 261,019.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,469 : 169,037 = 169,037 : x
  2. Step 2: Convert to fraction form
    109,469/169,037 = 169,037/x
  3. Step 3: Cross multiply
    109,469x = 169,037 × 169,037
  4. Step 4: Simplify right side
    109,469x = 28,573,507,369
  5. Step 5: Solve for x
    x = 28,573,507,369/109,469
  6. Step 6: Final answer
    x = 261,019.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.