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Finding the Third Proportional to 111,218.06 and 172,357.24

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Solution

The third proportional to 111,218.06 and 172,357.24 is: 267,106.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,218.06 : 172,357.24 = 172,357.24 : x
  2. Step 2: Convert to fraction form
    111,218.06/172,357.24 = 172,357.24/x
  3. Step 3: Cross multiply
    111,218.06x = 172,357.24 × 172,357.24
  4. Step 4: Simplify right side
    111,218.06x = 29,707,018,934.48
  5. Step 5: Solve for x
    x = 29,707,018,934.48/111,218.06
  6. Step 6: Final answer
    x = 267,106.06

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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.