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Finding the Third Proportional to 61,929 and 92,852

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Solution

The third proportional to 61,929 and 92,852 is: 139,215.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,929 : 92,852 = 92,852 : x
  2. Step 2: Convert to fraction form
    61,929/92,852 = 92,852/x
  3. Step 3: Cross multiply
    61,929x = 92,852 × 92,852
  4. Step 4: Simplify right side
    61,929x = 8,621,493,904
  5. Step 5: Solve for x
    x = 8,621,493,904/61,929
  6. Step 6: Final answer
    x = 139,215.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.