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Finding the Third Proportional to 88,053 and 188,571

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Solution

The third proportional to 88,053 and 188,571 is: 403,836.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,053 : 188,571 = 188,571 : x
  2. Step 2: Convert to fraction form
    88,053/188,571 = 188,571/x
  3. Step 3: Cross multiply
    88,053x = 188,571 × 188,571
  4. Step 4: Simplify right side
    88,053x = 35,559,022,041
  5. Step 5: Solve for x
    x = 35,559,022,041/88,053
  6. Step 6: Final answer
    x = 403,836.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.