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Finding the Third Proportional to 84,098 and 181,252

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Solution

The third proportional to 84,098 and 181,252 is: 390,642.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,098 : 181,252 = 181,252 : x
  2. Step 2: Convert to fraction form
    84,098/181,252 = 181,252/x
  3. Step 3: Cross multiply
    84,098x = 181,252 × 181,252
  4. Step 4: Simplify right side
    84,098x = 32,852,287,504
  5. Step 5: Solve for x
    x = 32,852,287,504/84,098
  6. Step 6: Final answer
    x = 390,642.91

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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.