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Finding the Third Proportional to 47,807 and 105,050

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Solution

The third proportional to 47,807 and 105,050 is: 230,834.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,807 : 105,050 = 105,050 : x
  2. Step 2: Convert to fraction form
    47,807/105,050 = 105,050/x
  3. Step 3: Cross multiply
    47,807x = 105,050 × 105,050
  4. Step 4: Simplify right side
    47,807x = 11,035,502,500
  5. Step 5: Solve for x
    x = 11,035,502,500/47,807
  6. Step 6: Final answer
    x = 230,834.45

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.