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Finding the Third Proportional to 42,274 and 63,275

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Solution

The third proportional to 42,274 and 63,275 is: 94,708.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,274 : 63,275 = 63,275 : x
  2. Step 2: Convert to fraction form
    42,274/63,275 = 63,275/x
  3. Step 3: Cross multiply
    42,274x = 63,275 × 63,275
  4. Step 4: Simplify right side
    42,274x = 4,003,725,625
  5. Step 5: Solve for x
    x = 4,003,725,625/42,274
  6. Step 6: Final answer
    x = 94,708.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.