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Finding the Third Proportional to 112,639.88 and 157,478.06

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Solution

The third proportional to 112,639.88 and 157,478.06 is: 220,164.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,639.88 : 157,478.06 = 157,478.06 : x
  2. Step 2: Convert to fraction form
    112,639.88/157,478.06 = 157,478.06/x
  3. Step 3: Cross multiply
    112,639.88x = 157,478.06 × 157,478.06
  4. Step 4: Simplify right side
    112,639.88x = 24,799,340,168.75
  5. Step 5: Solve for x
    x = 24,799,340,168.75/112,639.88
  6. Step 6: Final answer
    x = 220,164.84

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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.