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Finding the Third Proportional to 53,271.56 and 114,845.63

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Solution

The third proportional to 53,271.56 and 114,845.63 is: 247,590.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,271.56 : 114,845.63 = 114,845.63 : x
  2. Step 2: Convert to fraction form
    53,271.56/114,845.63 = 114,845.63/x
  3. Step 3: Cross multiply
    53,271.56x = 114,845.63 × 114,845.63
  4. Step 4: Simplify right side
    53,271.56x = 13,189,517,581.64
  5. Step 5: Solve for x
    x = 13,189,517,581.64/53,271.56
  6. Step 6: Final answer
    x = 247,590.21

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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.