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Finding the Third Proportional to 62,313 and 135,141

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Solution

The third proportional to 62,313 and 135,141 is: 293,086.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,313 : 135,141 = 135,141 : x
  2. Step 2: Convert to fraction form
    62,313/135,141 = 135,141/x
  3. Step 3: Cross multiply
    62,313x = 135,141 × 135,141
  4. Step 4: Simplify right side
    62,313x = 18,263,089,881
  5. Step 5: Solve for x
    x = 18,263,089,881/62,313
  6. Step 6: Final answer
    x = 293,086.35

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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.