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Finding the Third Proportional to 42,314.50 and 100,251

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Solution

The third proportional to 42,314.50 and 100,251 is: 237,513.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,314.50 : 100,251 = 100,251 : x
  2. Step 2: Convert to fraction form
    42,314.50/100,251 = 100,251/x
  3. Step 3: Cross multiply
    42,314.50x = 100,251 × 100,251
  4. Step 4: Simplify right side
    42,314.50x = 10,050,263,001
  5. Step 5: Solve for x
    x = 10,050,263,001/42,314.50
  6. Step 6: Final answer
    x = 237,513.45

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.