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Finding the Third Proportional to 47,804 and 105,139

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Solution

The third proportional to 47,804 and 105,139 is: 231,240.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,804 : 105,139 = 105,139 : x
  2. Step 2: Convert to fraction form
    47,804/105,139 = 105,139/x
  3. Step 3: Cross multiply
    47,804x = 105,139 × 105,139
  4. Step 4: Simplify right side
    47,804x = 11,054,209,321
  5. Step 5: Solve for x
    x = 11,054,209,321/47,804
  6. Step 6: Final answer
    x = 231,240.26

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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.