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Finding the Third Proportional to 65,619 and 101,800.13

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Solution

The third proportional to 65,619 and 101,800.13 is: 157,930.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,619 : 101,800.13 = 101,800.13 : x
  2. Step 2: Convert to fraction form
    65,619/101,800.13 = 101,800.13/x
  3. Step 3: Cross multiply
    65,619x = 101,800.13 × 101,800.13
  4. Step 4: Simplify right side
    65,619x = 10,363,265,450.02
  5. Step 5: Solve for x
    x = 10,363,265,450.02/65,619
  6. Step 6: Final answer
    x = 157,930.87

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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.