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Finding the Third Proportional to 47,061 and 100,946.25

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Solution

The third proportional to 47,061 and 100,946.25 is: 216,530.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,061 : 100,946.25 = 100,946.25 : x
  2. Step 2: Convert to fraction form
    47,061/100,946.25 = 100,946.25/x
  3. Step 3: Cross multiply
    47,061x = 100,946.25 × 100,946.25
  4. Step 4: Simplify right side
    47,061x = 10,190,145,389.06
  5. Step 5: Solve for x
    x = 10,190,145,389.06/47,061
  6. Step 6: Final answer
    x = 216,530.57

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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.