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Finding the Third Proportional to 60,336 and 107,064

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Solution

The third proportional to 60,336 and 107,064 is: 189,981.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,336 : 107,064 = 107,064 : x
  2. Step 2: Convert to fraction form
    60,336/107,064 = 107,064/x
  3. Step 3: Cross multiply
    60,336x = 107,064 × 107,064
  4. Step 4: Simplify right side
    60,336x = 11,462,700,096
  5. Step 5: Solve for x
    x = 11,462,700,096/60,336
  6. Step 6: Final answer
    x = 189,981.11

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.