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Finding the Third Proportional to 84,666 and 182,076

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Solution

The third proportional to 84,666 and 182,076 is: 391,558.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,666 : 182,076 = 182,076 : x
  2. Step 2: Convert to fraction form
    84,666/182,076 = 182,076/x
  3. Step 3: Cross multiply
    84,666x = 182,076 × 182,076
  4. Step 4: Simplify right side
    84,666x = 33,151,669,776
  5. Step 5: Solve for x
    x = 33,151,669,776/84,666
  6. Step 6: Final answer
    x = 391,558.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.