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Finding the Third Proportional to 63,904 and 140,114

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Solution

The third proportional to 63,904 and 140,114 is: 307,209.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,904 : 140,114 = 140,114 : x
  2. Step 2: Convert to fraction form
    63,904/140,114 = 140,114/x
  3. Step 3: Cross multiply
    63,904x = 140,114 × 140,114
  4. Step 4: Simplify right side
    63,904x = 19,631,932,996
  5. Step 5: Solve for x
    x = 19,631,932,996/63,904
  6. Step 6: Final answer
    x = 307,209.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.