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Finding the Third Proportional to 93,342 and 141,744

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Solution

The third proportional to 93,342 and 141,744 is: 215,244.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,342 : 141,744 = 141,744 : x
  2. Step 2: Convert to fraction form
    93,342/141,744 = 141,744/x
  3. Step 3: Cross multiply
    93,342x = 141,744 × 141,744
  4. Step 4: Simplify right side
    93,342x = 20,091,361,536
  5. Step 5: Solve for x
    x = 20,091,361,536/93,342
  6. Step 6: Final answer
    x = 215,244.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.