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Finding the Third Proportional to 53,324 and 114,420

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Solution

The third proportional to 53,324 and 114,420 is: 245,516.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,324 : 114,420 = 114,420 : x
  2. Step 2: Convert to fraction form
    53,324/114,420 = 114,420/x
  3. Step 3: Cross multiply
    53,324x = 114,420 × 114,420
  4. Step 4: Simplify right side
    53,324x = 13,091,936,400
  5. Step 5: Solve for x
    x = 13,091,936,400/53,324
  6. Step 6: Final answer
    x = 245,516.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.