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Finding the Third Proportional to 51,700 and 111,652

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Solution

The third proportional to 51,700 and 111,652 is: 241,125.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,700 : 111,652 = 111,652 : x
  2. Step 2: Convert to fraction form
    51,700/111,652 = 111,652/x
  3. Step 3: Cross multiply
    51,700x = 111,652 × 111,652
  4. Step 4: Simplify right side
    51,700x = 12,466,169,104
  5. Step 5: Solve for x
    x = 12,466,169,104/51,700
  6. Step 6: Final answer
    x = 241,125.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.