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Finding the Third Proportional to 109,464 and 164,991

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Solution

The third proportional to 109,464 and 164,991 is: 248,684.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,464 : 164,991 = 164,991 : x
  2. Step 2: Convert to fraction form
    109,464/164,991 = 164,991/x
  3. Step 3: Cross multiply
    109,464x = 164,991 × 164,991
  4. Step 4: Simplify right side
    109,464x = 27,222,030,081
  5. Step 5: Solve for x
    x = 27,222,030,081/109,464
  6. Step 6: Final answer
    x = 248,684.77

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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.