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Finding the Third Proportional to 62,343 and 135,803.25

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Solution

The third proportional to 62,343 and 135,803.25 is: 295,823.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,343 : 135,803.25 = 135,803.25 : x
  2. Step 2: Convert to fraction form
    62,343/135,803.25 = 135,803.25/x
  3. Step 3: Cross multiply
    62,343x = 135,803.25 × 135,803.25
  4. Step 4: Simplify right side
    62,343x = 18,442,522,710.56
  5. Step 5: Solve for x
    x = 18,442,522,710.56/62,343
  6. Step 6: Final answer
    x = 295,823.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.