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Finding the Third Proportional to 109,359 and 171,328

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Solution

The third proportional to 109,359 and 171,328 is: 268,412.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,359 : 171,328 = 171,328 : x
  2. Step 2: Convert to fraction form
    109,359/171,328 = 171,328/x
  3. Step 3: Cross multiply
    109,359x = 171,328 × 171,328
  4. Step 4: Simplify right side
    109,359x = 29,353,283,584
  5. Step 5: Solve for x
    x = 29,353,283,584/109,359
  6. Step 6: Final answer
    x = 268,412.14

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.