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Finding the Third Proportional to 110,897.44 and 172,033.88

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Solution

The third proportional to 110,897.44 and 172,033.88 is: 266,874.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,897.44 : 172,033.88 = 172,033.88 : x
  2. Step 2: Convert to fraction form
    110,897.44/172,033.88 = 172,033.88/x
  3. Step 3: Cross multiply
    110,897.44x = 172,033.88 × 172,033.88
  4. Step 4: Simplify right side
    110,897.44x = 29,595,654,147.52
  5. Step 5: Solve for x
    x = 29,595,654,147.52/110,897.44
  6. Step 6: Final answer
    x = 266,874.10

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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.