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Finding the Third Proportional to 122,784 and 186,576

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Solution

The third proportional to 122,784 and 186,576 is: 283,510.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,784 : 186,576 = 186,576 : x
  2. Step 2: Convert to fraction form
    122,784/186,576 = 186,576/x
  3. Step 3: Cross multiply
    122,784x = 186,576 × 186,576
  4. Step 4: Simplify right side
    122,784x = 34,810,603,776
  5. Step 5: Solve for x
    x = 34,810,603,776/122,784
  6. Step 6: Final answer
    x = 283,510.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.