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Finding the Third Proportional to 65,615.06 and 101,794.22

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Solution

The third proportional to 65,615.06 and 101,794.22 is: 157,922.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,615.06 : 101,794.22 = 101,794.22 : x
  2. Step 2: Convert to fraction form
    65,615.06/101,794.22 = 101,794.22/x
  3. Step 3: Cross multiply
    65,615.06x = 101,794.22 × 101,794.22
  4. Step 4: Simplify right side
    65,615.06x = 10,362,062,970.92
  5. Step 5: Solve for x
    x = 10,362,062,970.92/65,615.06
  6. Step 6: Final answer
    x = 157,922.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.