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Finding the Third Proportional to 53,300.53 and 115,997.06

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Solution

The third proportional to 53,300.53 and 115,997.06 is: 252,442.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,300.53 : 115,997.06 = 115,997.06 : x
  2. Step 2: Convert to fraction form
    53,300.53/115,997.06 = 115,997.06/x
  3. Step 3: Cross multiply
    53,300.53x = 115,997.06 × 115,997.06
  4. Step 4: Simplify right side
    53,300.53x = 13,455,318,508.63
  5. Step 5: Solve for x
    x = 13,455,318,508.63/53,300.53
  6. Step 6: Final answer
    x = 252,442.48

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.