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Finding the Third Proportional to 77,042 and 165,700

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Solution

The third proportional to 77,042 and 165,700 is: 356,383.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,042 : 165,700 = 165,700 : x
  2. Step 2: Convert to fraction form
    77,042/165,700 = 165,700/x
  3. Step 3: Cross multiply
    77,042x = 165,700 × 165,700
  4. Step 4: Simplify right side
    77,042x = 27,456,490,000
  5. Step 5: Solve for x
    x = 27,456,490,000/77,042
  6. Step 6: Final answer
    x = 356,383.40

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.