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Finding the Third Proportional to 84,343.50 and 127,071

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Solution

The third proportional to 84,343.50 and 127,071 is: 191,443.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,343.50 : 127,071 = 127,071 : x
  2. Step 2: Convert to fraction form
    84,343.50/127,071 = 127,071/x
  3. Step 3: Cross multiply
    84,343.50x = 127,071 × 127,071
  4. Step 4: Simplify right side
    84,343.50x = 16,147,039,041
  5. Step 5: Solve for x
    x = 16,147,039,041/84,343.50
  6. Step 6: Final answer
    x = 191,443.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.