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Finding the Third Proportional to 84,973 and 186,723

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Solution

The third proportional to 84,973 and 186,723 is: 410,312.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,973 : 186,723 = 186,723 : x
  2. Step 2: Convert to fraction form
    84,973/186,723 = 186,723/x
  3. Step 3: Cross multiply
    84,973x = 186,723 × 186,723
  4. Step 4: Simplify right side
    84,973x = 34,865,478,729
  5. Step 5: Solve for x
    x = 34,865,478,729/84,973
  6. Step 6: Final answer
    x = 410,312.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.