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Finding the Third Proportional to 42,750 and 94,254

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Solution

The third proportional to 42,750 and 94,254 is: 207,808.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,750 : 94,254 = 94,254 : x
  2. Step 2: Convert to fraction form
    42,750/94,254 = 94,254/x
  3. Step 3: Cross multiply
    42,750x = 94,254 × 94,254
  4. Step 4: Simplify right side
    42,750x = 8,883,816,516
  5. Step 5: Solve for x
    x = 8,883,816,516/42,750
  6. Step 6: Final answer
    x = 207,808.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.