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Finding the Third Proportional to 71,090 and 164,576

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Solution

The third proportional to 71,090 and 164,576 is: 380,999.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,090 : 164,576 = 164,576 : x
  2. Step 2: Convert to fraction form
    71,090/164,576 = 164,576/x
  3. Step 3: Cross multiply
    71,090x = 164,576 × 164,576
  4. Step 4: Simplify right side
    71,090x = 27,085,259,776
  5. Step 5: Solve for x
    x = 27,085,259,776/71,090
  6. Step 6: Final answer
    x = 380,999.57

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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.