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Finding the Third Proportional to 82,545 and 136,573

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Solution

The third proportional to 82,545 and 136,573 is: 225,963.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,545 : 136,573 = 136,573 : x
  2. Step 2: Convert to fraction form
    82,545/136,573 = 136,573/x
  3. Step 3: Cross multiply
    82,545x = 136,573 × 136,573
  4. Step 4: Simplify right side
    82,545x = 18,652,184,329
  5. Step 5: Solve for x
    x = 18,652,184,329/82,545
  6. Step 6: Final answer
    x = 225,963.83

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.