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Finding the Third Proportional to 50,482 and 78,157

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Solution

The third proportional to 50,482 and 78,157 is: 121,003.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,482 : 78,157 = 78,157 : x
  2. Step 2: Convert to fraction form
    50,482/78,157 = 78,157/x
  3. Step 3: Cross multiply
    50,482x = 78,157 × 78,157
  4. Step 4: Simplify right side
    50,482x = 6,108,516,649
  5. Step 5: Solve for x
    x = 6,108,516,649/50,482
  6. Step 6: Final answer
    x = 121,003.86

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.