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Finding the Third Proportional to 67,087.50 and 138,429

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Solution

The third proportional to 67,087.50 and 138,429 is: 285,635.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,087.50 : 138,429 = 138,429 : x
  2. Step 2: Convert to fraction form
    67,087.50/138,429 = 138,429/x
  3. Step 3: Cross multiply
    67,087.50x = 138,429 × 138,429
  4. Step 4: Simplify right side
    67,087.50x = 19,162,588,041
  5. Step 5: Solve for x
    x = 19,162,588,041/67,087.50
  6. Step 6: Final answer
    x = 285,635.74

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.