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Finding the Third Proportional to 77,168 and 163,814

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Solution

The third proportional to 77,168 and 163,814 is: 347,748.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,168 : 163,814 = 163,814 : x
  2. Step 2: Convert to fraction form
    77,168/163,814 = 163,814/x
  3. Step 3: Cross multiply
    77,168x = 163,814 × 163,814
  4. Step 4: Simplify right side
    77,168x = 26,835,026,596
  5. Step 5: Solve for x
    x = 26,835,026,596/77,168
  6. Step 6: Final answer
    x = 347,748.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.