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Finding the Third Proportional to 52,111.13 and 113,756.06

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Solution

The third proportional to 52,111.13 and 113,756.06 is: 248,323.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,111.13 : 113,756.06 = 113,756.06 : x
  2. Step 2: Convert to fraction form
    52,111.13/113,756.06 = 113,756.06/x
  3. Step 3: Cross multiply
    52,111.13x = 113,756.06 × 113,756.06
  4. Step 4: Simplify right side
    52,111.13x = 12,940,441,755.50
  5. Step 5: Solve for x
    x = 12,940,441,755.50/52,111.13
  6. Step 6: Final answer
    x = 248,323.98

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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.