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Finding the Third Proportional to 60,216 and 91,852

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Solution

The third proportional to 60,216 and 91,852 is: 140,108.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,216 : 91,852 = 91,852 : x
  2. Step 2: Convert to fraction form
    60,216/91,852 = 91,852/x
  3. Step 3: Cross multiply
    60,216x = 91,852 × 91,852
  4. Step 4: Simplify right side
    60,216x = 8,436,789,904
  5. Step 5: Solve for x
    x = 8,436,789,904/60,216
  6. Step 6: Final answer
    x = 140,108.77

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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.