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Finding the Third Proportional to 34,328 and 74,263

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Solution

The third proportional to 34,328 and 74,263 is: 160,655.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,328 : 74,263 = 74,263 : x
  2. Step 2: Convert to fraction form
    34,328/74,263 = 74,263/x
  3. Step 3: Cross multiply
    34,328x = 74,263 × 74,263
  4. Step 4: Simplify right side
    34,328x = 5,514,993,169
  5. Step 5: Solve for x
    x = 5,514,993,169/34,328
  6. Step 6: Final answer
    x = 160,655.83

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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.