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Finding the Third Proportional to 94,961 and 147,621.50

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Solution

The third proportional to 94,961 and 147,621.50 is: 229,484.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,961 : 147,621.50 = 147,621.50 : x
  2. Step 2: Convert to fraction form
    94,961/147,621.50 = 147,621.50/x
  3. Step 3: Cross multiply
    94,961x = 147,621.50 × 147,621.50
  4. Step 4: Simplify right side
    94,961x = 21,792,107,262.25
  5. Step 5: Solve for x
    x = 21,792,107,262.25/94,961
  6. Step 6: Final answer
    x = 229,484.81

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.