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Finding the Third Proportional to 65,737 and 100,243.50

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Solution

The third proportional to 65,737 and 100,243.50 is: 152,863.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,737 : 100,243.50 = 100,243.50 : x
  2. Step 2: Convert to fraction form
    65,737/100,243.50 = 100,243.50/x
  3. Step 3: Cross multiply
    65,737x = 100,243.50 × 100,243.50
  4. Step 4: Simplify right side
    65,737x = 10,048,759,292.25
  5. Step 5: Solve for x
    x = 10,048,759,292.25/65,737
  6. Step 6: Final answer
    x = 152,863.06

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.