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Finding the Third Proportional to 84,192 and 185,952

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Solution

The third proportional to 84,192 and 185,952 is: 410,705.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,192 : 185,952 = 185,952 : x
  2. Step 2: Convert to fraction form
    84,192/185,952 = 185,952/x
  3. Step 3: Cross multiply
    84,192x = 185,952 × 185,952
  4. Step 4: Simplify right side
    84,192x = 34,578,146,304
  5. Step 5: Solve for x
    x = 34,578,146,304/84,192
  6. Step 6: Final answer
    x = 410,705.84

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.