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Finding the Third Proportional to 84,596 and 183,772

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Solution

The third proportional to 84,596 and 183,772 is: 399,216.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,596 : 183,772 = 183,772 : x
  2. Step 2: Convert to fraction form
    84,596/183,772 = 183,772/x
  3. Step 3: Cross multiply
    84,596x = 183,772 × 183,772
  4. Step 4: Simplify right side
    84,596x = 33,772,147,984
  5. Step 5: Solve for x
    x = 33,772,147,984/84,596
  6. Step 6: Final answer
    x = 399,216.84

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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.