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Finding the Third Proportional to 40,642 and 97,907

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Solution

The third proportional to 40,642 and 97,907 is: 235,858.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,642 : 97,907 = 97,907 : x
  2. Step 2: Convert to fraction form
    40,642/97,907 = 97,907/x
  3. Step 3: Cross multiply
    40,642x = 97,907 × 97,907
  4. Step 4: Simplify right side
    40,642x = 9,585,780,649
  5. Step 5: Solve for x
    x = 9,585,780,649/40,642
  6. Step 6: Final answer
    x = 235,858.98

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.