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Finding the Third Proportional to 59,661 and 128,663.25

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Solution

The third proportional to 59,661 and 128,663.25 is: 277,471.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,661 : 128,663.25 = 128,663.25 : x
  2. Step 2: Convert to fraction form
    59,661/128,663.25 = 128,663.25/x
  3. Step 3: Cross multiply
    59,661x = 128,663.25 × 128,663.25
  4. Step 4: Simplify right side
    59,661x = 16,554,231,900.56
  5. Step 5: Solve for x
    x = 16,554,231,900.56/59,661
  6. Step 6: Final answer
    x = 277,471.58

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.