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Finding the Third Proportional to 53,937 and 112,194

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Solution

The third proportional to 53,937 and 112,194 is: 233,374.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,937 : 112,194 = 112,194 : x
  2. Step 2: Convert to fraction form
    53,937/112,194 = 112,194/x
  3. Step 3: Cross multiply
    53,937x = 112,194 × 112,194
  4. Step 4: Simplify right side
    53,937x = 12,587,493,636
  5. Step 5: Solve for x
    x = 12,587,493,636/53,937
  6. Step 6: Final answer
    x = 233,374.00

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.