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Finding the Third Proportional to 59,472.50 and 86,976

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Solution

The third proportional to 59,472.50 and 86,976 is: 127,198.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,472.50 : 86,976 = 86,976 : x
  2. Step 2: Convert to fraction form
    59,472.50/86,976 = 86,976/x
  3. Step 3: Cross multiply
    59,472.50x = 86,976 × 86,976
  4. Step 4: Simplify right side
    59,472.50x = 7,564,824,576
  5. Step 5: Solve for x
    x = 7,564,824,576/59,472.50
  6. Step 6: Final answer
    x = 127,198.70

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.