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Finding the Third Proportional to 67,285 and 141,540.50

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Solution

The third proportional to 67,285 and 141,540.50 is: 297,744.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,285 : 141,540.50 = 141,540.50 : x
  2. Step 2: Convert to fraction form
    67,285/141,540.50 = 141,540.50/x
  3. Step 3: Cross multiply
    67,285x = 141,540.50 × 141,540.50
  4. Step 4: Simplify right side
    67,285x = 20,033,713,140.25
  5. Step 5: Solve for x
    x = 20,033,713,140.25/67,285
  6. Step 6: Final answer
    x = 297,744.12

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.