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Finding the Third Proportional to 109,008 and 169,336

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Solution

The third proportional to 109,008 and 169,336 is: 263,051.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,008 : 169,336 = 169,336 : x
  2. Step 2: Convert to fraction form
    109,008/169,336 = 169,336/x
  3. Step 3: Cross multiply
    109,008x = 169,336 × 169,336
  4. Step 4: Simplify right side
    109,008x = 28,674,680,896
  5. Step 5: Solve for x
    x = 28,674,680,896/109,008
  6. Step 6: Final answer
    x = 263,051.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.