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Finding the Third Proportional to 83,335.50 and 116,660.25

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Solution

The third proportional to 83,335.50 and 116,660.25 is: 163,311.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,335.50 : 116,660.25 = 116,660.25 : x
  2. Step 2: Convert to fraction form
    83,335.50/116,660.25 = 116,660.25/x
  3. Step 3: Cross multiply
    83,335.50x = 116,660.25 × 116,660.25
  4. Step 4: Simplify right side
    83,335.50x = 13,609,613,930.06
  5. Step 5: Solve for x
    x = 13,609,613,930.06/83,335.50
  6. Step 6: Final answer
    x = 163,311.12

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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.