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Finding the Third Proportional to 65,318.25 and 97,723.50

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Solution

The third proportional to 65,318.25 and 97,723.50 is: 146,205.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,318.25 : 97,723.50 = 97,723.50 : x
  2. Step 2: Convert to fraction form
    65,318.25/97,723.50 = 97,723.50/x
  3. Step 3: Cross multiply
    65,318.25x = 97,723.50 × 97,723.50
  4. Step 4: Simplify right side
    65,318.25x = 9,549,882,452.25
  5. Step 5: Solve for x
    x = 9,549,882,452.25/65,318.25
  6. Step 6: Final answer
    x = 146,205.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.