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Finding the Third Proportional to 29,164 and 61,100

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Solution

The third proportional to 29,164 and 61,100 is: 128,007.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,164 : 61,100 = 61,100 : x
  2. Step 2: Convert to fraction form
    29,164/61,100 = 61,100/x
  3. Step 3: Cross multiply
    29,164x = 61,100 × 61,100
  4. Step 4: Simplify right side
    29,164x = 3,733,210,000
  5. Step 5: Solve for x
    x = 3,733,210,000/29,164
  6. Step 6: Final answer
    x = 128,007.47

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.