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Finding the Third Proportional to 65,458 and 100,760

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Solution

The third proportional to 65,458 and 100,760 is: 155,100.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,458 : 100,760 = 100,760 : x
  2. Step 2: Convert to fraction form
    65,458/100,760 = 100,760/x
  3. Step 3: Cross multiply
    65,458x = 100,760 × 100,760
  4. Step 4: Simplify right side
    65,458x = 10,152,577,600
  5. Step 5: Solve for x
    x = 10,152,577,600/65,458
  6. Step 6: Final answer
    x = 155,100.64

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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.