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Finding the Third Proportional to 109,212 and 164,586

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Solution

The third proportional to 109,212 and 164,586 is: 248,036.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,212 : 164,586 = 164,586 : x
  2. Step 2: Convert to fraction form
    109,212/164,586 = 164,586/x
  3. Step 3: Cross multiply
    109,212x = 164,586 × 164,586
  4. Step 4: Simplify right side
    109,212x = 27,088,551,396
  5. Step 5: Solve for x
    x = 27,088,551,396/109,212
  6. Step 6: Final answer
    x = 248,036.40

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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.