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Finding the Third Proportional to 53,342.30 and 114,954.19

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Solution

The third proportional to 53,342.30 and 114,954.19 is: 247,729.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,342.30 : 114,954.19 = 114,954.19 : x
  2. Step 2: Convert to fraction form
    53,342.30/114,954.19 = 114,954.19/x
  3. Step 3: Cross multiply
    53,342.30x = 114,954.19 × 114,954.19
  4. Step 4: Simplify right side
    53,342.30x = 13,214,465,223.79
  5. Step 5: Solve for x
    x = 13,214,465,223.79/53,342.30
  6. Step 6: Final answer
    x = 247,729.59

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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.