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Finding the Third Proportional to 62,313 and 94,213

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Solution

The third proportional to 62,313 and 94,213 is: 142,443.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,313 : 94,213 = 94,213 : x
  2. Step 2: Convert to fraction form
    62,313/94,213 = 94,213/x
  3. Step 3: Cross multiply
    62,313x = 94,213 × 94,213
  4. Step 4: Simplify right side
    62,313x = 8,876,089,369
  5. Step 5: Solve for x
    x = 8,876,089,369/62,313
  6. Step 6: Final answer
    x = 142,443.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.