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Finding the Third Proportional to 109,251 and 164,877

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Solution

The third proportional to 109,251 and 164,877 is: 248,825.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,251 : 164,877 = 164,877 : x
  2. Step 2: Convert to fraction form
    109,251/164,877 = 164,877/x
  3. Step 3: Cross multiply
    109,251x = 164,877 × 164,877
  4. Step 4: Simplify right side
    109,251x = 27,184,425,129
  5. Step 5: Solve for x
    x = 27,184,425,129/109,251
  6. Step 6: Final answer
    x = 248,825.41

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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.