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Finding the Third Proportional to 82,843.50 and 131,386.50

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Solution

The third proportional to 82,843.50 and 131,386.50 is: 208,373.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,843.50 : 131,386.50 = 131,386.50 : x
  2. Step 2: Convert to fraction form
    82,843.50/131,386.50 = 131,386.50/x
  3. Step 3: Cross multiply
    82,843.50x = 131,386.50 × 131,386.50
  4. Step 4: Simplify right side
    82,843.50x = 17,262,412,382.25
  5. Step 5: Solve for x
    x = 17,262,412,382.25/82,843.50
  6. Step 6: Final answer
    x = 208,373.77

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.