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Finding the Third Proportional to 64,870 and 122,962

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Solution

The third proportional to 64,870 and 122,962 is: 233,076.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,870 : 122,962 = 122,962 : x
  2. Step 2: Convert to fraction form
    64,870/122,962 = 122,962/x
  3. Step 3: Cross multiply
    64,870x = 122,962 × 122,962
  4. Step 4: Simplify right side
    64,870x = 15,119,653,444
  5. Step 5: Solve for x
    x = 15,119,653,444/64,870
  6. Step 6: Final answer
    x = 233,076.21

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.