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Finding the Third Proportional to 53,343 and 114,948

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Solution

The third proportional to 53,343 and 114,948 is: 247,699.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,343 : 114,948 = 114,948 : x
  2. Step 2: Convert to fraction form
    53,343/114,948 = 114,948/x
  3. Step 3: Cross multiply
    53,343x = 114,948 × 114,948
  4. Step 4: Simplify right side
    53,343x = 13,213,042,704
  5. Step 5: Solve for x
    x = 13,213,042,704/53,343
  6. Step 6: Final answer
    x = 247,699.66

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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.