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Finding the Third Proportional to 47,106 and 70,760

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Solution

The third proportional to 47,106 and 70,760 is: 106,291.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,106 : 70,760 = 70,760 : x
  2. Step 2: Convert to fraction form
    47,106/70,760 = 70,760/x
  3. Step 3: Cross multiply
    47,106x = 70,760 × 70,760
  4. Step 4: Simplify right side
    47,106x = 5,006,977,600
  5. Step 5: Solve for x
    x = 5,006,977,600/47,106
  6. Step 6: Final answer
    x = 106,291.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.