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Finding the Third Proportional to 53,298 and 110,916

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Solution

The third proportional to 53,298 and 110,916 is: 230,822.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,298 : 110,916 = 110,916 : x
  2. Step 2: Convert to fraction form
    53,298/110,916 = 110,916/x
  3. Step 3: Cross multiply
    53,298x = 110,916 × 110,916
  4. Step 4: Simplify right side
    53,298x = 12,302,359,056
  5. Step 5: Solve for x
    x = 12,302,359,056/53,298
  6. Step 6: Final answer
    x = 230,822.15

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.