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Finding the Third Proportional to 73,792 and 114,576

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Solution

The third proportional to 73,792 and 114,576 is: 177,900.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,792 : 114,576 = 114,576 : x
  2. Step 2: Convert to fraction form
    73,792/114,576 = 114,576/x
  3. Step 3: Cross multiply
    73,792x = 114,576 × 114,576
  4. Step 4: Simplify right side
    73,792x = 13,127,659,776
  5. Step 5: Solve for x
    x = 13,127,659,776/73,792
  6. Step 6: Final answer
    x = 177,900.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.