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Finding the Third Proportional to 36,050 and 78,852

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Solution

The third proportional to 36,050 and 78,852 is: 172,472.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,050 : 78,852 = 78,852 : x
  2. Step 2: Convert to fraction form
    36,050/78,852 = 78,852/x
  3. Step 3: Cross multiply
    36,050x = 78,852 × 78,852
  4. Step 4: Simplify right side
    36,050x = 6,217,637,904
  5. Step 5: Solve for x
    x = 6,217,637,904/36,050
  6. Step 6: Final answer
    x = 172,472.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.