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Finding the Third Proportional to 118,261 and 172,990

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Solution

The third proportional to 118,261 and 172,990 is: 253,046.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,261 : 172,990 = 172,990 : x
  2. Step 2: Convert to fraction form
    118,261/172,990 = 172,990/x
  3. Step 3: Cross multiply
    118,261x = 172,990 × 172,990
  4. Step 4: Simplify right side
    118,261x = 29,925,540,100
  5. Step 5: Solve for x
    x = 29,925,540,100/118,261
  6. Step 6: Final answer
    x = 253,046.57

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.