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Finding the Third Proportional to 77,747 and 161,026

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Solution

The third proportional to 77,747 and 161,026 is: 333,509.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,747 : 161,026 = 161,026 : x
  2. Step 2: Convert to fraction form
    77,747/161,026 = 161,026/x
  3. Step 3: Cross multiply
    77,747x = 161,026 × 161,026
  4. Step 4: Simplify right side
    77,747x = 25,929,372,676
  5. Step 5: Solve for x
    x = 25,929,372,676/77,747
  6. Step 6: Final answer
    x = 333,509.62

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.