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Finding the Third Proportional to 65,226.75 and 88,119.75

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Solution

The third proportional to 65,226.75 and 88,119.75 is: 119,047.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,226.75 : 88,119.75 = 88,119.75 : x
  2. Step 2: Convert to fraction form
    65,226.75/88,119.75 = 88,119.75/x
  3. Step 3: Cross multiply
    65,226.75x = 88,119.75 × 88,119.75
  4. Step 4: Simplify right side
    65,226.75x = 7,765,090,340.06
  5. Step 5: Solve for x
    x = 7,765,090,340.06/65,226.75
  6. Step 6: Final answer
    x = 119,047.64

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.