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Finding the Third Proportional to 110,695 and 172,955

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Solution

The third proportional to 110,695 and 172,955 is: 270,232.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,695 : 172,955 = 172,955 : x
  2. Step 2: Convert to fraction form
    110,695/172,955 = 172,955/x
  3. Step 3: Cross multiply
    110,695x = 172,955 × 172,955
  4. Step 4: Simplify right side
    110,695x = 29,913,432,025
  5. Step 5: Solve for x
    x = 29,913,432,025/110,695
  6. Step 6: Final answer
    x = 270,232.91

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.