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Finding the Third Proportional to 52,951.85 and 116,399.53

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Solution

The third proportional to 52,951.85 and 116,399.53 is: 255,871.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,951.85 : 116,399.53 = 116,399.53 : x
  2. Step 2: Convert to fraction form
    52,951.85/116,399.53 = 116,399.53/x
  3. Step 3: Cross multiply
    52,951.85x = 116,399.53 × 116,399.53
  4. Step 4: Simplify right side
    52,951.85x = 13,548,850,875.22
  5. Step 5: Solve for x
    x = 13,548,850,875.22/52,951.85
  6. Step 6: Final answer
    x = 255,871.14

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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.