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Finding the Third Proportional to 67,050 and 141,875

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Solution

The third proportional to 67,050 and 141,875 is: 300,201.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,050 : 141,875 = 141,875 : x
  2. Step 2: Convert to fraction form
    67,050/141,875 = 141,875/x
  3. Step 3: Cross multiply
    67,050x = 141,875 × 141,875
  4. Step 4: Simplify right side
    67,050x = 20,128,515,625
  5. Step 5: Solve for x
    x = 20,128,515,625/67,050
  6. Step 6: Final answer
    x = 300,201.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.