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Finding the Third Proportional to 65,468.25 and 100,104.19

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Solution

The third proportional to 65,468.25 and 100,104.19 is: 153,064.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,468.25 : 100,104.19 = 100,104.19 : x
  2. Step 2: Convert to fraction form
    65,468.25/100,104.19 = 100,104.19/x
  3. Step 3: Cross multiply
    65,468.25x = 100,104.19 × 100,104.19
  4. Step 4: Simplify right side
    65,468.25x = 10,020,848,355.04
  5. Step 5: Solve for x
    x = 10,020,848,355.04/65,468.25
  6. Step 6: Final answer
    x = 153,064.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.