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Finding the Third Proportional to 65,655 and 104,223.75

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Solution

The third proportional to 65,655 and 104,223.75 is: 165,449.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,655 : 104,223.75 = 104,223.75 : x
  2. Step 2: Convert to fraction form
    65,655/104,223.75 = 104,223.75/x
  3. Step 3: Cross multiply
    65,655x = 104,223.75 × 104,223.75
  4. Step 4: Simplify right side
    65,655x = 10,862,590,064.06
  5. Step 5: Solve for x
    x = 10,862,590,064.06/65,655
  6. Step 6: Final answer
    x = 165,449.55

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.