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Finding the Third Proportional to 115,727.63 and 180,357.75

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Solution

The third proportional to 115,727.63 and 180,357.75 is: 281,081.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,727.63 : 180,357.75 = 180,357.75 : x
  2. Step 2: Convert to fraction form
    115,727.63/180,357.75 = 180,357.75/x
  3. Step 3: Cross multiply
    115,727.63x = 180,357.75 × 180,357.75
  4. Step 4: Simplify right side
    115,727.63x = 32,528,917,985.06
  5. Step 5: Solve for x
    x = 32,528,917,985.06/115,727.63
  6. Step 6: Final answer
    x = 281,081.70

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.