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Finding the Third Proportional to 118,672.50 and 158,524.50

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Solution

The third proportional to 118,672.50 and 158,524.50 is: 211,759.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,672.50 : 158,524.50 = 158,524.50 : x
  2. Step 2: Convert to fraction form
    118,672.50/158,524.50 = 158,524.50/x
  3. Step 3: Cross multiply
    118,672.50x = 158,524.50 × 158,524.50
  4. Step 4: Simplify right side
    118,672.50x = 25,130,017,100.25
  5. Step 5: Solve for x
    x = 25,130,017,100.25/118,672.50
  6. Step 6: Final answer
    x = 211,759.40

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