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Finding the Third Proportional to 53,271.28 and 114,845.06

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Solution

The third proportional to 53,271.28 and 114,845.06 is: 247,589.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,271.28 : 114,845.06 = 114,845.06 : x
  2. Step 2: Convert to fraction form
    53,271.28/114,845.06 = 114,845.06/x
  3. Step 3: Cross multiply
    53,271.28x = 114,845.06 × 114,845.06
  4. Step 4: Simplify right side
    53,271.28x = 13,189,388,380.63
  5. Step 5: Solve for x
    x = 13,189,388,380.63/53,271.28
  6. Step 6: Final answer
    x = 247,589.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.