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Finding the Third Proportional to 47,730 and 103,956

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Solution

The third proportional to 47,730 and 103,956 is: 226,416.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,730 : 103,956 = 103,956 : x
  2. Step 2: Convert to fraction form
    47,730/103,956 = 103,956/x
  3. Step 3: Cross multiply
    47,730x = 103,956 × 103,956
  4. Step 4: Simplify right side
    47,730x = 10,806,849,936
  5. Step 5: Solve for x
    x = 10,806,849,936/47,730
  6. Step 6: Final answer
    x = 226,416.30

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.