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Finding the Third Proportional to 61,147.13 and 128,926.13

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Solution

The third proportional to 61,147.13 and 128,926.13 is: 271,835.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,147.13 : 128,926.13 = 128,926.13 : x
  2. Step 2: Convert to fraction form
    61,147.13/128,926.13 = 128,926.13/x
  3. Step 3: Cross multiply
    61,147.13x = 128,926.13 × 128,926.13
  4. Step 4: Simplify right side
    61,147.13x = 16,621,945,707.52
  5. Step 5: Solve for x
    x = 16,621,945,707.52/61,147.13
  6. Step 6: Final answer
    x = 271,835.28

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.