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Finding the Third Proportional to 63,121 and 94,845

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Solution

The third proportional to 63,121 and 94,845 is: 142,513.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,121 : 94,845 = 94,845 : x
  2. Step 2: Convert to fraction form
    63,121/94,845 = 94,845/x
  3. Step 3: Cross multiply
    63,121x = 94,845 × 94,845
  4. Step 4: Simplify right side
    63,121x = 8,995,574,025
  5. Step 5: Solve for x
    x = 8,995,574,025/63,121
  6. Step 6: Final answer
    x = 142,513.17

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Why These Related Problems?

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