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Finding the Third Proportional to 52,667.40 and 83,768.08

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Solution

The third proportional to 52,667.40 and 83,768.08 is: 133,234.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,667.40 : 83,768.08 = 83,768.08 : x
  2. Step 2: Convert to fraction form
    52,667.40/83,768.08 = 83,768.08/x
  3. Step 3: Cross multiply
    52,667.40x = 83,768.08 × 83,768.08
  4. Step 4: Simplify right side
    52,667.40x = 7,017,091,239.98
  5. Step 5: Solve for x
    x = 7,017,091,239.98/52,667.40
  6. Step 6: Final answer
    x = 133,234.05

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.