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Finding the Third Proportional to 94,712 and 192,688

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Solution

The third proportional to 94,712 and 192,688 is: 392,016.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,712 : 192,688 = 192,688 : x
  2. Step 2: Convert to fraction form
    94,712/192,688 = 192,688/x
  3. Step 3: Cross multiply
    94,712x = 192,688 × 192,688
  4. Step 4: Simplify right side
    94,712x = 37,128,665,344
  5. Step 5: Solve for x
    x = 37,128,665,344/94,712
  6. Step 6: Final answer
    x = 392,016.49

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.