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Finding the Third Proportional to 110,970 and 172,287

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Solution

The third proportional to 110,970 and 172,287 is: 267,485.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,970 : 172,287 = 172,287 : x
  2. Step 2: Convert to fraction form
    110,970/172,287 = 172,287/x
  3. Step 3: Cross multiply
    110,970x = 172,287 × 172,287
  4. Step 4: Simplify right side
    110,970x = 29,682,810,369
  5. Step 5: Solve for x
    x = 29,682,810,369/110,970
  6. Step 6: Final answer
    x = 267,485.00

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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.