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Finding the Third Proportional to 65,808.75 and 96,245.06

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Solution

The third proportional to 65,808.75 and 96,245.06 is: 140,758.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,808.75 : 96,245.06 = 96,245.06 : x
  2. Step 2: Convert to fraction form
    65,808.75/96,245.06 = 96,245.06/x
  3. Step 3: Cross multiply
    65,808.75x = 96,245.06 × 96,245.06
  4. Step 4: Simplify right side
    65,808.75x = 9,263,112,055.63
  5. Step 5: Solve for x
    x = 9,263,112,055.63/65,808.75
  6. Step 6: Final answer
    x = 140,758.06

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.