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Finding the Third Proportional to 122,528 and 166,291

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Solution

The third proportional to 122,528 and 166,291 is: 225,684.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,528 : 166,291 = 166,291 : x
  2. Step 2: Convert to fraction form
    122,528/166,291 = 166,291/x
  3. Step 3: Cross multiply
    122,528x = 166,291 × 166,291
  4. Step 4: Simplify right side
    122,528x = 27,652,696,681
  5. Step 5: Solve for x
    x = 27,652,696,681/122,528
  6. Step 6: Final answer
    x = 225,684.71

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.