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Finding the Third Proportional to 57,351 and 118,733.25

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Solution

The third proportional to 57,351 and 118,733.25 is: 245,812.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,351 : 118,733.25 = 118,733.25 : x
  2. Step 2: Convert to fraction form
    57,351/118,733.25 = 118,733.25/x
  3. Step 3: Cross multiply
    57,351x = 118,733.25 × 118,733.25
  4. Step 4: Simplify right side
    57,351x = 14,097,584,655.56
  5. Step 5: Solve for x
    x = 14,097,584,655.56/57,351
  6. Step 6: Final answer
    x = 245,812.36

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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.