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Finding the Third Proportional to 111,490 and 172,755

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Solution

The third proportional to 111,490 and 172,755 is: 267,685.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,490 : 172,755 = 172,755 : x
  2. Step 2: Convert to fraction form
    111,490/172,755 = 172,755/x
  3. Step 3: Cross multiply
    111,490x = 172,755 × 172,755
  4. Step 4: Simplify right side
    111,490x = 29,844,290,025
  5. Step 5: Solve for x
    x = 29,844,290,025/111,490
  6. Step 6: Final answer
    x = 267,685.80

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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.