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Finding the Third Proportional to 60,821 and 96,852

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Solution

The third proportional to 60,821 and 96,852 is: 154,228.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,821 : 96,852 = 96,852 : x
  2. Step 2: Convert to fraction form
    60,821/96,852 = 96,852/x
  3. Step 3: Cross multiply
    60,821x = 96,852 × 96,852
  4. Step 4: Simplify right side
    60,821x = 9,380,309,904
  5. Step 5: Solve for x
    x = 9,380,309,904/60,821
  6. Step 6: Final answer
    x = 154,228.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.