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Finding the Third Proportional to 35,087.50 and 75,179

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Solution

The third proportional to 35,087.50 and 75,179 is: 161,079.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,087.50 : 75,179 = 75,179 : x
  2. Step 2: Convert to fraction form
    35,087.50/75,179 = 75,179/x
  3. Step 3: Cross multiply
    35,087.50x = 75,179 × 75,179
  4. Step 4: Simplify right side
    35,087.50x = 5,651,882,041
  5. Step 5: Solve for x
    x = 5,651,882,041/35,087.50
  6. Step 6: Final answer
    x = 161,079.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.