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Finding the Third Proportional to 64,433 and 98,571

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Solution

The third proportional to 64,433 and 98,571 is: 150,796.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,433 : 98,571 = 98,571 : x
  2. Step 2: Convert to fraction form
    64,433/98,571 = 98,571/x
  3. Step 3: Cross multiply
    64,433x = 98,571 × 98,571
  4. Step 4: Simplify right side
    64,433x = 9,716,242,041
  5. Step 5: Solve for x
    x = 9,716,242,041/64,433
  6. Step 6: Final answer
    x = 150,796.05

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.