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Finding the Third Proportional to 83,960 and 141,005.50

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Solution

The third proportional to 83,960 and 141,005.50 is: 236,809.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,960 : 141,005.50 = 141,005.50 : x
  2. Step 2: Convert to fraction form
    83,960/141,005.50 = 141,005.50/x
  3. Step 3: Cross multiply
    83,960x = 141,005.50 × 141,005.50
  4. Step 4: Simplify right side
    83,960x = 19,882,551,030.25
  5. Step 5: Solve for x
    x = 19,882,551,030.25/83,960
  6. Step 6: Final answer
    x = 236,809.80

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These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.