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Finding the Third Proportional to 109,548 and 164,940

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Solution

The third proportional to 109,548 and 164,940 is: 248,340.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,548 : 164,940 = 164,940 : x
  2. Step 2: Convert to fraction form
    109,548/164,940 = 164,940/x
  3. Step 3: Cross multiply
    109,548x = 164,940 × 164,940
  4. Step 4: Simplify right side
    109,548x = 27,205,203,600
  5. Step 5: Solve for x
    x = 27,205,203,600/109,548
  6. Step 6: Final answer
    x = 248,340.49

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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.