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Finding the Third Proportional to 48,611 and 76,157

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Solution

The third proportional to 48,611 and 76,157 is: 119,312.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,611 : 76,157 = 76,157 : x
  2. Step 2: Convert to fraction form
    48,611/76,157 = 76,157/x
  3. Step 3: Cross multiply
    48,611x = 76,157 × 76,157
  4. Step 4: Simplify right side
    48,611x = 5,799,888,649
  5. Step 5: Solve for x
    x = 5,799,888,649/48,611
  6. Step 6: Final answer
    x = 119,312.27

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.