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Finding the Third Proportional to 42,500 and 99,263

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Solution

The third proportional to 42,500 and 99,263 is: 231,838.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,500 : 99,263 = 99,263 : x
  2. Step 2: Convert to fraction form
    42,500/99,263 = 99,263/x
  3. Step 3: Cross multiply
    42,500x = 99,263 × 99,263
  4. Step 4: Simplify right side
    42,500x = 9,853,143,169
  5. Step 5: Solve for x
    x = 9,853,143,169/42,500
  6. Step 6: Final answer
    x = 231,838.66

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.