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Finding the Third Proportional to 62,757 and 94,275

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Solution

The third proportional to 62,757 and 94,275 is: 141,622.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,757 : 94,275 = 94,275 : x
  2. Step 2: Convert to fraction form
    62,757/94,275 = 94,275/x
  3. Step 3: Cross multiply
    62,757x = 94,275 × 94,275
  4. Step 4: Simplify right side
    62,757x = 8,887,775,625
  5. Step 5: Solve for x
    x = 8,887,775,625/62,757
  6. Step 6: Final answer
    x = 141,622.06

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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.