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Finding the Third Proportional to 62,321 and 135,157

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Solution

The third proportional to 62,321 and 135,157 is: 293,118.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,321 : 135,157 = 135,157 : x
  2. Step 2: Convert to fraction form
    62,321/135,157 = 135,157/x
  3. Step 3: Cross multiply
    62,321x = 135,157 × 135,157
  4. Step 4: Simplify right side
    62,321x = 18,267,414,649
  5. Step 5: Solve for x
    x = 18,267,414,649/62,321
  6. Step 6: Final answer
    x = 293,118.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.