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Finding the Third Proportional to 53,937 and 114,678

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Solution

The third proportional to 53,937 and 114,678 is: 243,822.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,937 : 114,678 = 114,678 : x
  2. Step 2: Convert to fraction form
    53,937/114,678 = 114,678/x
  3. Step 3: Cross multiply
    53,937x = 114,678 × 114,678
  4. Step 4: Simplify right side
    53,937x = 13,151,043,684
  5. Step 5: Solve for x
    x = 13,151,043,684/53,937
  6. Step 6: Final answer
    x = 243,822.31

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.