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Finding the Third Proportional to 83,342.25 and 116,670.38

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Solution

The third proportional to 83,342.25 and 116,670.38 is: 163,326.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,342.25 : 116,670.38 = 116,670.38 : x
  2. Step 2: Convert to fraction form
    83,342.25/116,670.38 = 116,670.38/x
  3. Step 3: Cross multiply
    83,342.25x = 116,670.38 × 116,670.38
  4. Step 4: Simplify right side
    83,342.25x = 13,611,976,402.64
  5. Step 5: Solve for x
    x = 13,611,976,402.64/83,342.25
  6. Step 6: Final answer
    x = 163,326.24

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.