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Finding the Third Proportional to 46,774 and 102,602

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Solution

The third proportional to 46,774 and 102,602 is: 225,064.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,774 : 102,602 = 102,602 : x
  2. Step 2: Convert to fraction form
    46,774/102,602 = 102,602/x
  3. Step 3: Cross multiply
    46,774x = 102,602 × 102,602
  4. Step 4: Simplify right side
    46,774x = 10,527,170,404
  5. Step 5: Solve for x
    x = 10,527,170,404/46,774
  6. Step 6: Final answer
    x = 225,064.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.