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Finding the Third Proportional to 64,004 and 137,818

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Solution

The third proportional to 64,004 and 137,818 is: 296,759.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,004 : 137,818 = 137,818 : x
  2. Step 2: Convert to fraction form
    64,004/137,818 = 137,818/x
  3. Step 3: Cross multiply
    64,004x = 137,818 × 137,818
  4. Step 4: Simplify right side
    64,004x = 18,993,801,124
  5. Step 5: Solve for x
    x = 18,993,801,124/64,004
  6. Step 6: Final answer
    x = 296,759.60

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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.