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Finding the Third Proportional to 36,141.54 and 78,316.38

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Solution

The third proportional to 36,141.54 and 78,316.38 is: 169,706.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,141.54 : 78,316.38 = 78,316.38 : x
  2. Step 2: Convert to fraction form
    36,141.54/78,316.38 = 78,316.38/x
  3. Step 3: Cross multiply
    36,141.54x = 78,316.38 × 78,316.38
  4. Step 4: Simplify right side
    36,141.54x = 6,133,455,816.83
  5. Step 5: Solve for x
    x = 6,133,455,816.83/36,141.54
  6. Step 6: Final answer
    x = 169,706.55

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.