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Finding the Third Proportional to 64,003 and 98,741

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Solution

The third proportional to 64,003 and 98,741 is: 152,333.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,003 : 98,741 = 98,741 : x
  2. Step 2: Convert to fraction form
    64,003/98,741 = 98,741/x
  3. Step 3: Cross multiply
    64,003x = 98,741 × 98,741
  4. Step 4: Simplify right side
    64,003x = 9,749,785,081
  5. Step 5: Solve for x
    x = 9,749,785,081/64,003
  6. Step 6: Final answer
    x = 152,333.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.