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Finding the Third Proportional to 71,127 and 164,239

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Solution

The third proportional to 71,127 and 164,239 is: 379,243.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,127 : 164,239 = 164,239 : x
  2. Step 2: Convert to fraction form
    71,127/164,239 = 164,239/x
  3. Step 3: Cross multiply
    71,127x = 164,239 × 164,239
  4. Step 4: Simplify right side
    71,127x = 26,974,449,121
  5. Step 5: Solve for x
    x = 26,974,449,121/71,127
  6. Step 6: Final answer
    x = 379,243.45

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.