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Finding the Third Proportional to 101,422.13 and 157,661.44

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Solution

The third proportional to 101,422.13 and 157,661.44 is: 245,085.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,422.13 : 157,661.44 = 157,661.44 : x
  2. Step 2: Convert to fraction form
    101,422.13/157,661.44 = 157,661.44/x
  3. Step 3: Cross multiply
    101,422.13x = 157,661.44 × 157,661.44
  4. Step 4: Simplify right side
    101,422.13x = 24,857,128,874.57
  5. Step 5: Solve for x
    x = 24,857,128,874.57/101,422.13
  6. Step 6: Final answer
    x = 245,085.86

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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.