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Finding the Third Proportional to 65,494 and 100,121

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Solution

The third proportional to 65,494 and 100,121 is: 153,055.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,494 : 100,121 = 100,121 : x
  2. Step 2: Convert to fraction form
    65,494/100,121 = 100,121/x
  3. Step 3: Cross multiply
    65,494x = 100,121 × 100,121
  4. Step 4: Simplify right side
    65,494x = 10,024,214,641
  5. Step 5: Solve for x
    x = 10,024,214,641/65,494
  6. Step 6: Final answer
    x = 153,055.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.