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Finding the Third Proportional to 52,104.50 and 122,875.25

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Solution

The third proportional to 52,104.50 and 122,875.25 is: 289,770.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,104.50 : 122,875.25 = 122,875.25 : x
  2. Step 2: Convert to fraction form
    52,104.50/122,875.25 = 122,875.25/x
  3. Step 3: Cross multiply
    52,104.50x = 122,875.25 × 122,875.25
  4. Step 4: Simplify right side
    52,104.50x = 15,098,327,062.56
  5. Step 5: Solve for x
    x = 15,098,327,062.56/52,104.50
  6. Step 6: Final answer
    x = 289,770.12

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.