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Finding the Third Proportional to 52,905 and 71,769

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Solution

The third proportional to 52,905 and 71,769 is: 97,359.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,905 : 71,769 = 71,769 : x
  2. Step 2: Convert to fraction form
    52,905/71,769 = 71,769/x
  3. Step 3: Cross multiply
    52,905x = 71,769 × 71,769
  4. Step 4: Simplify right side
    52,905x = 5,150,789,361
  5. Step 5: Solve for x
    x = 5,150,789,361/52,905
  6. Step 6: Final answer
    x = 97,359.22

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.