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Finding the Third Proportional to 64,084 and 137,641

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Solution

The third proportional to 64,084 and 137,641 is: 295,628.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,084 : 137,641 = 137,641 : x
  2. Step 2: Convert to fraction form
    64,084/137,641 = 137,641/x
  3. Step 3: Cross multiply
    64,084x = 137,641 × 137,641
  4. Step 4: Simplify right side
    64,084x = 18,945,044,881
  5. Step 5: Solve for x
    x = 18,945,044,881/64,084
  6. Step 6: Final answer
    x = 295,628.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.