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Finding the Third Proportional to 52,035.75 and 113,702.06

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Solution

The third proportional to 52,035.75 and 113,702.06 is: 248,447.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,035.75 : 113,702.06 = 113,702.06 : x
  2. Step 2: Convert to fraction form
    52,035.75/113,702.06 = 113,702.06/x
  3. Step 3: Cross multiply
    52,035.75x = 113,702.06 × 113,702.06
  4. Step 4: Simplify right side
    52,035.75x = 12,928,159,016.75
  5. Step 5: Solve for x
    x = 12,928,159,016.75/52,035.75
  6. Step 6: Final answer
    x = 248,447.63

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.