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Finding the Third Proportional to 57,502.50 and 117,873.75

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Solution

The third proportional to 57,502.50 and 117,873.75 is: 241,628.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,502.50 : 117,873.75 = 117,873.75 : x
  2. Step 2: Convert to fraction form
    57,502.50/117,873.75 = 117,873.75/x
  3. Step 3: Cross multiply
    57,502.50x = 117,873.75 × 117,873.75
  4. Step 4: Simplify right side
    57,502.50x = 13,894,220,939.06
  5. Step 5: Solve for x
    x = 13,894,220,939.06/57,502.50
  6. Step 6: Final answer
    x = 241,628.12

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.