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Finding the Third Proportional to 66,560 and 100,111

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Solution

The third proportional to 66,560 and 100,111 is: 150,574.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,560 : 100,111 = 100,111 : x
  2. Step 2: Convert to fraction form
    66,560/100,111 = 100,111/x
  3. Step 3: Cross multiply
    66,560x = 100,111 × 100,111
  4. Step 4: Simplify right side
    66,560x = 10,022,212,321
  5. Step 5: Solve for x
    x = 10,022,212,321/66,560
  6. Step 6: Final answer
    x = 150,574.10

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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.