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Finding the Third Proportional to 84,536 and 183,666

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Solution

The third proportional to 84,536 and 183,666 is: 399,039.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,536 : 183,666 = 183,666 : x
  2. Step 2: Convert to fraction form
    84,536/183,666 = 183,666/x
  3. Step 3: Cross multiply
    84,536x = 183,666 × 183,666
  4. Step 4: Simplify right side
    84,536x = 33,733,199,556
  5. Step 5: Solve for x
    x = 33,733,199,556/84,536
  6. Step 6: Final answer
    x = 399,039.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.