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Finding the Third Proportional to 78,635 and 118,007

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Solution

The third proportional to 78,635 and 118,007 is: 177,092.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,635 : 118,007 = 118,007 : x
  2. Step 2: Convert to fraction form
    78,635/118,007 = 118,007/x
  3. Step 3: Cross multiply
    78,635x = 118,007 × 118,007
  4. Step 4: Simplify right side
    78,635x = 13,925,652,049
  5. Step 5: Solve for x
    x = 13,925,652,049/78,635
  6. Step 6: Final answer
    x = 177,092.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.