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Finding the Third Proportional to 65,439 and 100,649.25

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Solution

The third proportional to 65,439 and 100,649.25 is: 154,804.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,439 : 100,649.25 = 100,649.25 : x
  2. Step 2: Convert to fraction form
    65,439/100,649.25 = 100,649.25/x
  3. Step 3: Cross multiply
    65,439x = 100,649.25 × 100,649.25
  4. Step 4: Simplify right side
    65,439x = 10,130,271,525.56
  5. Step 5: Solve for x
    x = 10,130,271,525.56/65,439
  6. Step 6: Final answer
    x = 154,804.80

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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.