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Finding the Third Proportional to 37,071 and 77,214

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Solution

The third proportional to 37,071 and 77,214 is: 160,826.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,071 : 77,214 = 77,214 : x
  2. Step 2: Convert to fraction form
    37,071/77,214 = 77,214/x
  3. Step 3: Cross multiply
    37,071x = 77,214 × 77,214
  4. Step 4: Simplify right side
    37,071x = 5,962,001,796
  5. Step 5: Solve for x
    x = 5,962,001,796/37,071
  6. Step 6: Final answer
    x = 160,826.57

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.