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Finding the Third Proportional to 52,835.41 and 81,209.46

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Solution

The third proportional to 52,835.41 and 81,209.46 is: 124,821.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,835.41 : 81,209.46 = 81,209.46 : x
  2. Step 2: Convert to fraction form
    52,835.41/81,209.46 = 81,209.46/x
  3. Step 3: Cross multiply
    52,835.41x = 81,209.46 × 81,209.46
  4. Step 4: Simplify right side
    52,835.41x = 6,594,976,545.76
  5. Step 5: Solve for x
    x = 6,594,976,545.76/52,835.41
  6. Step 6: Final answer
    x = 124,821.14

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.