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Finding the Third Proportional to 50,053.25 and 88,977.16

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Solution

The third proportional to 50,053.25 and 88,977.16 is: 158,170.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,053.25 : 88,977.16 = 88,977.16 : x
  2. Step 2: Convert to fraction form
    50,053.25/88,977.16 = 88,977.16/x
  3. Step 3: Cross multiply
    50,053.25x = 88,977.16 × 88,977.16
  4. Step 4: Simplify right side
    50,053.25x = 7,916,934,160.55
  5. Step 5: Solve for x
    x = 7,916,934,160.55/50,053.25
  6. Step 6: Final answer
    x = 158,170.22

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.