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Finding the Third Proportional to 84,082.50 and 122,888.25

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Solution

The third proportional to 84,082.50 and 122,888.25 is: 179,603.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,082.50 : 122,888.25 = 122,888.25 : x
  2. Step 2: Convert to fraction form
    84,082.50/122,888.25 = 122,888.25/x
  3. Step 3: Cross multiply
    84,082.50x = 122,888.25 × 122,888.25
  4. Step 4: Simplify right side
    84,082.50x = 15,101,521,988.06
  5. Step 5: Solve for x
    x = 15,101,521,988.06/84,082.50
  6. Step 6: Final answer
    x = 179,603.63

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.