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Finding the Third Proportional to 64,962 and 101,481

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Solution

The third proportional to 64,962 and 101,481 is: 158,529.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,962 : 101,481 = 101,481 : x
  2. Step 2: Convert to fraction form
    64,962/101,481 = 101,481/x
  3. Step 3: Cross multiply
    64,962x = 101,481 × 101,481
  4. Step 4: Simplify right side
    64,962x = 10,298,393,361
  5. Step 5: Solve for x
    x = 10,298,393,361/64,962
  6. Step 6: Final answer
    x = 158,529.50

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.