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Finding the Third Proportional to 72,137.25 and 157,551.75

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Solution

The third proportional to 72,137.25 and 157,551.75 is: 344,101.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,137.25 : 157,551.75 = 157,551.75 : x
  2. Step 2: Convert to fraction form
    72,137.25/157,551.75 = 157,551.75/x
  3. Step 3: Cross multiply
    72,137.25x = 157,551.75 × 157,551.75
  4. Step 4: Simplify right side
    72,137.25x = 24,822,553,928.06
  5. Step 5: Solve for x
    x = 24,822,553,928.06/72,137.25
  6. Step 6: Final answer
    x = 344,101.75

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.