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Finding the Third Proportional to 109,217 and 164,597

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Solution

The third proportional to 109,217 and 164,597 is: 248,058.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,217 : 164,597 = 164,597 : x
  2. Step 2: Convert to fraction form
    109,217/164,597 = 164,597/x
  3. Step 3: Cross multiply
    109,217x = 164,597 × 164,597
  4. Step 4: Simplify right side
    109,217x = 27,092,172,409
  5. Step 5: Solve for x
    x = 27,092,172,409/109,217
  6. Step 6: Final answer
    x = 248,058.20

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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.