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Finding the Third Proportional to 65,503.69 and 134,424.56

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Solution

The third proportional to 65,503.69 and 134,424.56 is: 275,861.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,503.69 : 134,424.56 = 134,424.56 : x
  2. Step 2: Convert to fraction form
    65,503.69/134,424.56 = 134,424.56/x
  3. Step 3: Cross multiply
    65,503.69x = 134,424.56 × 134,424.56
  4. Step 4: Simplify right side
    65,503.69x = 18,069,963,003.32
  5. Step 5: Solve for x
    x = 18,069,963,003.32/65,503.69
  6. Step 6: Final answer
    x = 275,861.77

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.