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Finding the Third Proportional to 53,047 and 115,462

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Solution

The third proportional to 53,047 and 115,462 is: 251,314.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,047 : 115,462 = 115,462 : x
  2. Step 2: Convert to fraction form
    53,047/115,462 = 115,462/x
  3. Step 3: Cross multiply
    53,047x = 115,462 × 115,462
  4. Step 4: Simplify right side
    53,047x = 13,331,473,444
  5. Step 5: Solve for x
    x = 13,331,473,444/53,047
  6. Step 6: Final answer
    x = 251,314.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.