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Finding the Third Proportional to 122,913 and 166,065

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Solution

The third proportional to 122,913 and 166,065 is: 224,366.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,913 : 166,065 = 166,065 : x
  2. Step 2: Convert to fraction form
    122,913/166,065 = 166,065/x
  3. Step 3: Cross multiply
    122,913x = 166,065 × 166,065
  4. Step 4: Simplify right side
    122,913x = 27,577,584,225
  5. Step 5: Solve for x
    x = 27,577,584,225/122,913
  6. Step 6: Final answer
    x = 224,366.70

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.