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Finding the Third Proportional to 77,896.13 and 127,185.19

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Solution

The third proportional to 77,896.13 and 127,185.19 is: 207,662.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,896.13 : 127,185.19 = 127,185.19 : x
  2. Step 2: Convert to fraction form
    77,896.13/127,185.19 = 127,185.19/x
  3. Step 3: Cross multiply
    77,896.13x = 127,185.19 × 127,185.19
  4. Step 4: Simplify right side
    77,896.13x = 16,176,071,919.41
  5. Step 5: Solve for x
    x = 16,176,071,919.41/77,896.13
  6. Step 6: Final answer
    x = 207,662.09

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.