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Finding the Third Proportional to 84,587 and 183,751

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Solution

The third proportional to 84,587 and 183,751 is: 399,168.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,587 : 183,751 = 183,751 : x
  2. Step 2: Convert to fraction form
    84,587/183,751 = 183,751/x
  3. Step 3: Cross multiply
    84,587x = 183,751 × 183,751
  4. Step 4: Simplify right side
    84,587x = 33,764,430,001
  5. Step 5: Solve for x
    x = 33,764,430,001/84,587
  6. Step 6: Final answer
    x = 399,168.08

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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.