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Finding the Third Proportional to 38,042 and 77,236

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Solution

The third proportional to 38,042 and 77,236 is: 156,810.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,042 : 77,236 = 77,236 : x
  2. Step 2: Convert to fraction form
    38,042/77,236 = 77,236/x
  3. Step 3: Cross multiply
    38,042x = 77,236 × 77,236
  4. Step 4: Simplify right side
    38,042x = 5,965,399,696
  5. Step 5: Solve for x
    x = 5,965,399,696/38,042
  6. Step 6: Final answer
    x = 156,810.89

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.