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Finding the Third Proportional to 118,671.75 and 158,523.75

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Solution

The third proportional to 118,671.75 and 158,523.75 is: 211,758.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,671.75 : 158,523.75 = 158,523.75 : x
  2. Step 2: Convert to fraction form
    118,671.75/158,523.75 = 158,523.75/x
  3. Step 3: Cross multiply
    118,671.75x = 158,523.75 × 158,523.75
  4. Step 4: Simplify right side
    118,671.75x = 25,129,779,314.06
  5. Step 5: Solve for x
    x = 25,129,779,314.06/118,671.75
  6. Step 6: Final answer
    x = 211,758.73

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.