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Finding the Third Proportional to 73,467 and 158,962.50

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Solution

The third proportional to 73,467 and 158,962.50 is: 343,951.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,467 : 158,962.50 = 158,962.50 : x
  2. Step 2: Convert to fraction form
    73,467/158,962.50 = 158,962.50/x
  3. Step 3: Cross multiply
    73,467x = 158,962.50 × 158,962.50
  4. Step 4: Simplify right side
    73,467x = 25,269,076,406.25
  5. Step 5: Solve for x
    x = 25,269,076,406.25/73,467
  6. Step 6: Final answer
    x = 343,951.39

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.