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Finding the Third Proportional to 34,052 and 72,226

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Solution

The third proportional to 34,052 and 72,226 is: 153,194.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,052 : 72,226 = 72,226 : x
  2. Step 2: Convert to fraction form
    34,052/72,226 = 72,226/x
  3. Step 3: Cross multiply
    34,052x = 72,226 × 72,226
  4. Step 4: Simplify right side
    34,052x = 5,216,595,076
  5. Step 5: Solve for x
    x = 5,216,595,076/34,052
  6. Step 6: Final answer
    x = 153,194.97

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.