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Finding the Third Proportional to 88,452 and 188,712

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Solution

The third proportional to 88,452 and 188,712 is: 402,616.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,452 : 188,712 = 188,712 : x
  2. Step 2: Convert to fraction form
    88,452/188,712 = 188,712/x
  3. Step 3: Cross multiply
    88,452x = 188,712 × 188,712
  4. Step 4: Simplify right side
    88,452x = 35,612,218,944
  5. Step 5: Solve for x
    x = 35,612,218,944/88,452
  6. Step 6: Final answer
    x = 402,616.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.