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Finding the Third Proportional to 73,947 and 158,977.50

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Solution

The third proportional to 73,947 and 158,977.50 is: 341,783.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,947 : 158,977.50 = 158,977.50 : x
  2. Step 2: Convert to fraction form
    73,947/158,977.50 = 158,977.50/x
  3. Step 3: Cross multiply
    73,947x = 158,977.50 × 158,977.50
  4. Step 4: Simplify right side
    73,947x = 25,273,845,506.25
  5. Step 5: Solve for x
    x = 25,273,845,506.25/73,947
  6. Step 6: Final answer
    x = 341,783.24

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.