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Finding the Third Proportional to 53,038.13 and 115,917.75

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Solution

The third proportional to 53,038.13 and 115,917.75 is: 253,344.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,038.13 : 115,917.75 = 115,917.75 : x
  2. Step 2: Convert to fraction form
    53,038.13/115,917.75 = 115,917.75/x
  3. Step 3: Cross multiply
    53,038.13x = 115,917.75 × 115,917.75
  4. Step 4: Simplify right side
    53,038.13x = 13,436,924,765.06
  5. Step 5: Solve for x
    x = 13,436,924,765.06/53,038.13
  6. Step 6: Final answer
    x = 253,344.64

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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.