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Finding the Third Proportional to 84,558.38 and 133,795.13

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Solution

The third proportional to 84,558.38 and 133,795.13 is: 211,701.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,558.38 : 133,795.13 = 133,795.13 : x
  2. Step 2: Convert to fraction form
    84,558.38/133,795.13 = 133,795.13/x
  3. Step 3: Cross multiply
    84,558.38x = 133,795.13 × 133,795.13
  4. Step 4: Simplify right side
    84,558.38x = 17,901,135,473.77
  5. Step 5: Solve for x
    x = 17,901,135,473.77/84,558.38
  6. Step 6: Final answer
    x = 211,701.51

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.