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Finding the Third Proportional to 65,021 and 102,023.75

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Solution

The third proportional to 65,021 and 102,023.75 is: 160,084.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,021 : 102,023.75 = 102,023.75 : x
  2. Step 2: Convert to fraction form
    65,021/102,023.75 = 102,023.75/x
  3. Step 3: Cross multiply
    65,021x = 102,023.75 × 102,023.75
  4. Step 4: Simplify right side
    65,021x = 10,408,845,564.06
  5. Step 5: Solve for x
    x = 10,408,845,564.06/65,021
  6. Step 6: Final answer
    x = 160,084.37

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.