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Finding the Third Proportional to 112,641.75 and 157,480.50

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Solution

The third proportional to 112,641.75 and 157,480.50 is: 220,167.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,641.75 : 157,480.50 = 157,480.50 : x
  2. Step 2: Convert to fraction form
    112,641.75/157,480.50 = 157,480.50/x
  3. Step 3: Cross multiply
    112,641.75x = 157,480.50 × 157,480.50
  4. Step 4: Simplify right side
    112,641.75x = 24,800,107,880.25
  5. Step 5: Solve for x
    x = 24,800,107,880.25/112,641.75
  6. Step 6: Final answer
    x = 220,167.99

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.