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Finding the Third Proportional to 80,072 and 185,347

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Solution

The third proportional to 80,072 and 185,347 is: 429,032.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,072 : 185,347 = 185,347 : x
  2. Step 2: Convert to fraction form
    80,072/185,347 = 185,347/x
  3. Step 3: Cross multiply
    80,072x = 185,347 × 185,347
  4. Step 4: Simplify right side
    80,072x = 34,353,510,409
  5. Step 5: Solve for x
    x = 34,353,510,409/80,072
  6. Step 6: Final answer
    x = 429,032.75

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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.