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Finding the Third Proportional to 87,076 and 177,842

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Solution

The third proportional to 87,076 and 177,842 is: 363,220.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,076 : 177,842 = 177,842 : x
  2. Step 2: Convert to fraction form
    87,076/177,842 = 177,842/x
  3. Step 3: Cross multiply
    87,076x = 177,842 × 177,842
  4. Step 4: Simplify right side
    87,076x = 31,627,776,964
  5. Step 5: Solve for x
    x = 31,627,776,964/87,076
  6. Step 6: Final answer
    x = 363,220.37

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.