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Finding the Third Proportional to 84,573 and 183,726

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Solution

The third proportional to 84,573 and 183,726 is: 399,125.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,573 : 183,726 = 183,726 : x
  2. Step 2: Convert to fraction form
    84,573/183,726 = 183,726/x
  3. Step 3: Cross multiply
    84,573x = 183,726 × 183,726
  4. Step 4: Simplify right side
    84,573x = 33,755,243,076
  5. Step 5: Solve for x
    x = 33,755,243,076/84,573
  6. Step 6: Final answer
    x = 399,125.53

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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.