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Finding the Third Proportional to 109,350.95 and 164,026.42

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Solution

The third proportional to 109,350.95 and 164,026.42 is: 246,039.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,350.95 : 164,026.42 = 164,026.42 : x
  2. Step 2: Convert to fraction form
    109,350.95/164,026.42 = 164,026.42/x
  3. Step 3: Cross multiply
    109,350.95x = 164,026.42 × 164,026.42
  4. Step 4: Simplify right side
    109,350.95x = 26,904,667,713.84
  5. Step 5: Solve for x
    x = 26,904,667,713.84/109,350.95
  6. Step 6: Final answer
    x = 246,039.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.