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Finding the Third Proportional to 57,172.50 and 118,251

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Solution

The third proportional to 57,172.50 and 118,251 is: 244,580.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,172.50 : 118,251 = 118,251 : x
  2. Step 2: Convert to fraction form
    57,172.50/118,251 = 118,251/x
  3. Step 3: Cross multiply
    57,172.50x = 118,251 × 118,251
  4. Step 4: Simplify right side
    57,172.50x = 13,983,299,001
  5. Step 5: Solve for x
    x = 13,983,299,001/57,172.50
  6. Step 6: Final answer
    x = 244,580.86

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.