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Finding the Third Proportional to 53,063 and 115,969

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Solution

The third proportional to 53,063 and 115,969 is: 253,449.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,063 : 115,969 = 115,969 : x
  2. Step 2: Convert to fraction form
    53,063/115,969 = 115,969/x
  3. Step 3: Cross multiply
    53,063x = 115,969 × 115,969
  4. Step 4: Simplify right side
    53,063x = 13,448,808,961
  5. Step 5: Solve for x
    x = 13,448,808,961/53,063
  6. Step 6: Final answer
    x = 253,449.84

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.