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Finding the Third Proportional to 84,092 and 183,952

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Solution

The third proportional to 84,092 and 183,952 is: 402,396.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,092 : 183,952 = 183,952 : x
  2. Step 2: Convert to fraction form
    84,092/183,952 = 183,952/x
  3. Step 3: Cross multiply
    84,092x = 183,952 × 183,952
  4. Step 4: Simplify right side
    84,092x = 33,838,338,304
  5. Step 5: Solve for x
    x = 33,838,338,304/84,092
  6. Step 6: Final answer
    x = 402,396.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.