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Finding the Third Proportional to 118,101 and 159,108.75

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Solution

The third proportional to 118,101 and 159,108.75 is: 214,355.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,101 : 159,108.75 = 159,108.75 : x
  2. Step 2: Convert to fraction form
    118,101/159,108.75 = 159,108.75/x
  3. Step 3: Cross multiply
    118,101x = 159,108.75 × 159,108.75
  4. Step 4: Simplify right side
    118,101x = 25,315,594,326.56
  5. Step 5: Solve for x
    x = 25,315,594,326.56/118,101
  6. Step 6: Final answer
    x = 214,355.46

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.