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Finding the Third Proportional to 53,740.13 and 115,408.13

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Solution

The third proportional to 53,740.13 and 115,408.13 is: 247,841.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,740.13 : 115,408.13 = 115,408.13 : x
  2. Step 2: Convert to fraction form
    53,740.13/115,408.13 = 115,408.13/x
  3. Step 3: Cross multiply
    53,740.13x = 115,408.13 × 115,408.13
  4. Step 4: Simplify right side
    53,740.13x = 13,319,035,316.02
  5. Step 5: Solve for x
    x = 13,319,035,316.02/53,740.13
  6. Step 6: Final answer
    x = 247,841.54

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.