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Finding the Third Proportional to 53,042 and 114,652

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Solution

The third proportional to 53,042 and 114,652 is: 247,824.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,042 : 114,652 = 114,652 : x
  2. Step 2: Convert to fraction form
    53,042/114,652 = 114,652/x
  3. Step 3: Cross multiply
    53,042x = 114,652 × 114,652
  4. Step 4: Simplify right side
    53,042x = 13,145,081,104
  5. Step 5: Solve for x
    x = 13,145,081,104/53,042
  6. Step 6: Final answer
    x = 247,824.01

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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.