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Finding the Third Proportional to 65,738.25 and 97,594.88

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Solution

The third proportional to 65,738.25 and 97,594.88 is: 144,889.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,738.25 : 97,594.88 = 97,594.88 : x
  2. Step 2: Convert to fraction form
    65,738.25/97,594.88 = 97,594.88/x
  3. Step 3: Cross multiply
    65,738.25x = 97,594.88 × 97,594.88
  4. Step 4: Simplify right side
    65,738.25x = 9,524,759,626.27
  5. Step 5: Solve for x
    x = 9,524,759,626.27/65,738.25
  6. Step 6: Final answer
    x = 144,889.16

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.