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Finding the Third Proportional to 61,275 and 70,995

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Solution

The third proportional to 61,275 and 70,995 is: 82,256.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,275 : 70,995 = 70,995 : x
  2. Step 2: Convert to fraction form
    61,275/70,995 = 70,995/x
  3. Step 3: Cross multiply
    61,275x = 70,995 × 70,995
  4. Step 4: Simplify right side
    61,275x = 5,040,290,025
  5. Step 5: Solve for x
    x = 5,040,290,025/61,275
  6. Step 6: Final answer
    x = 82,256.88

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These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.