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Finding the Third Proportional to 92,576 and 136,816

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Solution

The third proportional to 92,576 and 136,816 is: 202,197.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,576 : 136,816 = 136,816 : x
  2. Step 2: Convert to fraction form
    92,576/136,816 = 136,816/x
  3. Step 3: Cross multiply
    92,576x = 136,816 × 136,816
  4. Step 4: Simplify right side
    92,576x = 18,718,617,856
  5. Step 5: Solve for x
    x = 18,718,617,856/92,576
  6. Step 6: Final answer
    x = 202,197.31

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.