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Finding the Third Proportional to 93,378 and 141,795

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Solution

The third proportional to 93,378 and 141,795 is: 215,316.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,378 : 141,795 = 141,795 : x
  2. Step 2: Convert to fraction form
    93,378/141,795 = 141,795/x
  3. Step 3: Cross multiply
    93,378x = 141,795 × 141,795
  4. Step 4: Simplify right side
    93,378x = 20,105,822,025
  5. Step 5: Solve for x
    x = 20,105,822,025/93,378
  6. Step 6: Final answer
    x = 215,316.48

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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.