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Finding the Third Proportional to 77,175 and 168,552

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Solution

The third proportional to 77,175 and 168,552 is: 368,121.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,175 : 168,552 = 168,552 : x
  2. Step 2: Convert to fraction form
    77,175/168,552 = 168,552/x
  3. Step 3: Cross multiply
    77,175x = 168,552 × 168,552
  4. Step 4: Simplify right side
    77,175x = 28,409,776,704
  5. Step 5: Solve for x
    x = 28,409,776,704/77,175
  6. Step 6: Final answer
    x = 368,121.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.