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Finding the Third Proportional to 101,453.91 and 157,706.86

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Solution

The third proportional to 101,453.91 and 157,706.86 is: 245,150.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,453.91 : 157,706.86 = 157,706.86 : x
  2. Step 2: Convert to fraction form
    101,453.91/157,706.86 = 157,706.86/x
  3. Step 3: Cross multiply
    101,453.91x = 157,706.86 × 157,706.86
  4. Step 4: Simplify right side
    101,453.91x = 24,871,453,493.93
  5. Step 5: Solve for x
    x = 24,871,453,493.93/101,453.91
  6. Step 6: Final answer
    x = 245,150.28

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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.