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Finding the Third Proportional to 109,026 and 164,187

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Solution

The third proportional to 109,026 and 164,187 is: 247,256.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,026 : 164,187 = 164,187 : x
  2. Step 2: Convert to fraction form
    109,026/164,187 = 164,187/x
  3. Step 3: Cross multiply
    109,026x = 164,187 × 164,187
  4. Step 4: Simplify right side
    109,026x = 26,957,370,969
  5. Step 5: Solve for x
    x = 26,957,370,969/109,026
  6. Step 6: Final answer
    x = 247,256.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.