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Finding the Third Proportional to 77,968 and 168,410

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Solution

The third proportional to 77,968 and 168,410 is: 363,763.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,968 : 168,410 = 168,410 : x
  2. Step 2: Convert to fraction form
    77,968/168,410 = 168,410/x
  3. Step 3: Cross multiply
    77,968x = 168,410 × 168,410
  4. Step 4: Simplify right side
    77,968x = 28,361,928,100
  5. Step 5: Solve for x
    x = 28,361,928,100/77,968
  6. Step 6: Final answer
    x = 363,763.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.