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Finding the Third Proportional to 80,071.50 and 185,343.75

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Solution

The third proportional to 80,071.50 and 185,343.75 is: 429,020.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,071.50 : 185,343.75 = 185,343.75 : x
  2. Step 2: Convert to fraction form
    80,071.50/185,343.75 = 185,343.75/x
  3. Step 3: Cross multiply
    80,071.50x = 185,343.75 × 185,343.75
  4. Step 4: Simplify right side
    80,071.50x = 34,352,305,664.06
  5. Step 5: Solve for x
    x = 34,352,305,664.06/80,071.50
  6. Step 6: Final answer
    x = 429,020.38

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.