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Finding the Third Proportional to 62,275 and 75,955

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Solution

The third proportional to 62,275 and 75,955 is: 92,640.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,275 : 75,955 = 75,955 : x
  2. Step 2: Convert to fraction form
    62,275/75,955 = 75,955/x
  3. Step 3: Cross multiply
    62,275x = 75,955 × 75,955
  4. Step 4: Simplify right side
    62,275x = 5,769,162,025
  5. Step 5: Solve for x
    x = 5,769,162,025/62,275
  6. Step 6: Final answer
    x = 92,640.10

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.