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Finding the Third Proportional to 85,989.38 and 178,053.75

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Solution

The third proportional to 85,989.38 and 178,053.75 is: 368,686.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,989.38 : 178,053.75 = 178,053.75 : x
  2. Step 2: Convert to fraction form
    85,989.38/178,053.75 = 178,053.75/x
  3. Step 3: Cross multiply
    85,989.38x = 178,053.75 × 178,053.75
  4. Step 4: Simplify right side
    85,989.38x = 31,703,137,889.06
  5. Step 5: Solve for x
    x = 31,703,137,889.06/85,989.38
  6. Step 6: Final answer
    x = 368,686.69

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.