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Finding the Third Proportional to 53,358 and 114,812

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Solution

The third proportional to 53,358 and 114,812 is: 247,044.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,358 : 114,812 = 114,812 : x
  2. Step 2: Convert to fraction form
    53,358/114,812 = 114,812/x
  3. Step 3: Cross multiply
    53,358x = 114,812 × 114,812
  4. Step 4: Simplify right side
    53,358x = 13,181,795,344
  5. Step 5: Solve for x
    x = 13,181,795,344/53,358
  6. Step 6: Final answer
    x = 247,044.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.