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Finding the Third Proportional to 84,804 and 134,982

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Solution

The third proportional to 84,804 and 134,982 is: 214,850.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,804 : 134,982 = 134,982 : x
  2. Step 2: Convert to fraction form
    84,804/134,982 = 134,982/x
  3. Step 3: Cross multiply
    84,804x = 134,982 × 134,982
  4. Step 4: Simplify right side
    84,804x = 18,220,140,324
  5. Step 5: Solve for x
    x = 18,220,140,324/84,804
  6. Step 6: Final answer
    x = 214,850.01

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.