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Finding the Third Proportional to 71,076 and 164,564

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Solution

The third proportional to 71,076 and 164,564 is: 381,019.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,076 : 164,564 = 164,564 : x
  2. Step 2: Convert to fraction form
    71,076/164,564 = 164,564/x
  3. Step 3: Cross multiply
    71,076x = 164,564 × 164,564
  4. Step 4: Simplify right side
    71,076x = 27,081,310,096
  5. Step 5: Solve for x
    x = 27,081,310,096/71,076
  6. Step 6: Final answer
    x = 381,019.05

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.