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Finding the Third Proportional to 53,432 and 114,903

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Solution

The third proportional to 53,432 and 114,903 is: 247,093.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,432 : 114,903 = 114,903 : x
  2. Step 2: Convert to fraction form
    53,432/114,903 = 114,903/x
  3. Step 3: Cross multiply
    53,432x = 114,903 × 114,903
  4. Step 4: Simplify right side
    53,432x = 13,202,699,409
  5. Step 5: Solve for x
    x = 13,202,699,409/53,432
  6. Step 6: Final answer
    x = 247,093.49

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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.