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Finding the Third Proportional to 78,762 and 116,907

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Solution

The third proportional to 78,762 and 116,907 is: 173,525.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,762 : 116,907 = 116,907 : x
  2. Step 2: Convert to fraction form
    78,762/116,907 = 116,907/x
  3. Step 3: Cross multiply
    78,762x = 116,907 × 116,907
  4. Step 4: Simplify right side
    78,762x = 13,667,246,649
  5. Step 5: Solve for x
    x = 13,667,246,649/78,762
  6. Step 6: Final answer
    x = 173,525.90

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.