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Finding the Third Proportional to 111,290 and 172,551

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Solution

The third proportional to 111,290 and 172,551 is: 267,533.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,290 : 172,551 = 172,551 : x
  2. Step 2: Convert to fraction form
    111,290/172,551 = 172,551/x
  3. Step 3: Cross multiply
    111,290x = 172,551 × 172,551
  4. Step 4: Simplify right side
    111,290x = 29,773,847,601
  5. Step 5: Solve for x
    x = 29,773,847,601/111,290
  6. Step 6: Final answer
    x = 267,533.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.