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Finding the Third Proportional to 78,272 and 118,906

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Solution

The third proportional to 78,272 and 118,906 is: 180,634.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,272 : 118,906 = 118,906 : x
  2. Step 2: Convert to fraction form
    78,272/118,906 = 118,906/x
  3. Step 3: Cross multiply
    78,272x = 118,906 × 118,906
  4. Step 4: Simplify right side
    78,272x = 14,138,636,836
  5. Step 5: Solve for x
    x = 14,138,636,836/78,272
  6. Step 6: Final answer
    x = 180,634.67

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.