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Finding the Third Proportional to 77,262 and 162,827

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Solution

The third proportional to 77,262 and 162,827 is: 343,152.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,262 : 162,827 = 162,827 : x
  2. Step 2: Convert to fraction form
    77,262/162,827 = 162,827/x
  3. Step 3: Cross multiply
    77,262x = 162,827 × 162,827
  4. Step 4: Simplify right side
    77,262x = 26,512,631,929
  5. Step 5: Solve for x
    x = 26,512,631,929/77,262
  6. Step 6: Final answer
    x = 343,152.29

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.