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Finding the Third Proportional to 53,659.69 and 116,546.06

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Solution

The third proportional to 53,659.69 and 116,546.06 is: 253,132.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,659.69 : 116,546.06 = 116,546.06 : x
  2. Step 2: Convert to fraction form
    53,659.69/116,546.06 = 116,546.06/x
  3. Step 3: Cross multiply
    53,659.69x = 116,546.06 × 116,546.06
  4. Step 4: Simplify right side
    53,659.69x = 13,582,984,684.25
  5. Step 5: Solve for x
    x = 13,582,984,684.25/53,659.69
  6. Step 6: Final answer
    x = 253,132.01

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.