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Finding the Third Proportional to 47,989.13 and 112,109.06

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Solution

The third proportional to 47,989.13 and 112,109.06 is: 261,901.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,989.13 : 112,109.06 = 112,109.06 : x
  2. Step 2: Convert to fraction form
    47,989.13/112,109.06 = 112,109.06/x
  3. Step 3: Cross multiply
    47,989.13x = 112,109.06 × 112,109.06
  4. Step 4: Simplify right side
    47,989.13x = 12,568,441,894.63
  5. Step 5: Solve for x
    x = 12,568,441,894.63/47,989.13
  6. Step 6: Final answer
    x = 261,901.88

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.