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Finding the Third Proportional to 57,365.50 and 124,263

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Solution

The third proportional to 57,365.50 and 124,263 is: 269,173.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,365.50 : 124,263 = 124,263 : x
  2. Step 2: Convert to fraction form
    57,365.50/124,263 = 124,263/x
  3. Step 3: Cross multiply
    57,365.50x = 124,263 × 124,263
  4. Step 4: Simplify right side
    57,365.50x = 15,441,293,169
  5. Step 5: Solve for x
    x = 15,441,293,169/57,365.50
  6. Step 6: Final answer
    x = 269,173.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.