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Finding the Third Proportional to 64,004 and 99,626

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Solution

The third proportional to 64,004 and 99,626 is: 155,073.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,004 : 99,626 = 99,626 : x
  2. Step 2: Convert to fraction form
    64,004/99,626 = 99,626/x
  3. Step 3: Cross multiply
    64,004x = 99,626 × 99,626
  4. Step 4: Simplify right side
    64,004x = 9,925,339,876
  5. Step 5: Solve for x
    x = 9,925,339,876/64,004
  6. Step 6: Final answer
    x = 155,073.74

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.