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Finding the Third Proportional to 71,905 and 108,863

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Solution

The third proportional to 71,905 and 108,863 is: 164,816.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,905 : 108,863 = 108,863 : x
  2. Step 2: Convert to fraction form
    71,905/108,863 = 108,863/x
  3. Step 3: Cross multiply
    71,905x = 108,863 × 108,863
  4. Step 4: Simplify right side
    71,905x = 11,851,152,769
  5. Step 5: Solve for x
    x = 11,851,152,769/71,905
  6. Step 6: Final answer
    x = 164,816.81

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.