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Finding the Third Proportional to 40,117 and 61,668

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Solution

The third proportional to 40,117 and 61,668 is: 94,796.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,117 : 61,668 = 61,668 : x
  2. Step 2: Convert to fraction form
    40,117/61,668 = 61,668/x
  3. Step 3: Cross multiply
    40,117x = 61,668 × 61,668
  4. Step 4: Simplify right side
    40,117x = 3,802,942,224
  5. Step 5: Solve for x
    x = 3,802,942,224/40,117
  6. Step 6: Final answer
    x = 94,796.28

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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.