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Finding the Third Proportional to 65,502 and 100,899

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Solution

The third proportional to 65,502 and 100,899 is: 155,424.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,502 : 100,899 = 100,899 : x
  2. Step 2: Convert to fraction form
    65,502/100,899 = 100,899/x
  3. Step 3: Cross multiply
    65,502x = 100,899 × 100,899
  4. Step 4: Simplify right side
    65,502x = 10,180,608,201
  5. Step 5: Solve for x
    x = 10,180,608,201/65,502
  6. Step 6: Final answer
    x = 155,424.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.