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Finding the Third Proportional to 52,921.69 and 113,126.63

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Solution

The third proportional to 52,921.69 and 113,126.63 is: 241,822.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,921.69 : 113,126.63 = 113,126.63 : x
  2. Step 2: Convert to fraction form
    52,921.69/113,126.63 = 113,126.63/x
  3. Step 3: Cross multiply
    52,921.69x = 113,126.63 × 113,126.63
  4. Step 4: Simplify right side
    52,921.69x = 12,797,633,283.89
  5. Step 5: Solve for x
    x = 12,797,633,283.89/52,921.69
  6. Step 6: Final answer
    x = 241,822.09

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.