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Finding the Third Proportional to 109,026 and 164,079

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Solution

The third proportional to 109,026 and 164,079 is: 246,931.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,026 : 164,079 = 164,079 : x
  2. Step 2: Convert to fraction form
    109,026/164,079 = 164,079/x
  3. Step 3: Cross multiply
    109,026x = 164,079 × 164,079
  4. Step 4: Simplify right side
    109,026x = 26,921,918,241
  5. Step 5: Solve for x
    x = 26,921,918,241/109,026
  6. Step 6: Final answer
    x = 246,931.17

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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.