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Finding the Third Proportional to 47,672.50 and 103,546

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Solution

The third proportional to 47,672.50 and 103,546 is: 224,904.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,672.50 : 103,546 = 103,546 : x
  2. Step 2: Convert to fraction form
    47,672.50/103,546 = 103,546/x
  3. Step 3: Cross multiply
    47,672.50x = 103,546 × 103,546
  4. Step 4: Simplify right side
    47,672.50x = 10,721,774,116
  5. Step 5: Solve for x
    x = 10,721,774,116/47,672.50
  6. Step 6: Final answer
    x = 224,904.80

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.