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Finding the Third Proportional to 102,147.75 and 237,370.50

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Solution

The third proportional to 102,147.75 and 237,370.50 is: 551,600.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,147.75 : 237,370.50 = 237,370.50 : x
  2. Step 2: Convert to fraction form
    102,147.75/237,370.50 = 237,370.50/x
  3. Step 3: Cross multiply
    102,147.75x = 237,370.50 × 237,370.50
  4. Step 4: Simplify right side
    102,147.75x = 56,344,754,270.25
  5. Step 5: Solve for x
    x = 56,344,754,270.25/102,147.75
  6. Step 6: Final answer
    x = 551,600.54

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.