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Finding the Third Proportional to 39,015.19 and 84,176.06

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Solution

The third proportional to 39,015.19 and 84,176.06 is: 181,611.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,015.19 : 84,176.06 = 84,176.06 : x
  2. Step 2: Convert to fraction form
    39,015.19/84,176.06 = 84,176.06/x
  3. Step 3: Cross multiply
    39,015.19x = 84,176.06 × 84,176.06
  4. Step 4: Simplify right side
    39,015.19x = 7,085,609,498.00
  5. Step 5: Solve for x
    x = 7,085,609,498.00/39,015.19
  6. Step 6: Final answer
    x = 181,611.57

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.