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Finding the Third Proportional to 52,203 and 80,848.50

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Solution

The third proportional to 52,203 and 80,848.50 is: 125,212.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,203 : 80,848.50 = 80,848.50 : x
  2. Step 2: Convert to fraction form
    52,203/80,848.50 = 80,848.50/x
  3. Step 3: Cross multiply
    52,203x = 80,848.50 × 80,848.50
  4. Step 4: Simplify right side
    52,203x = 6,536,479,952.25
  5. Step 5: Solve for x
    x = 6,536,479,952.25/52,203
  6. Step 6: Final answer
    x = 125,212.73

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.