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Finding the Third Proportional to 46,176 and 67,242

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Solution

The third proportional to 46,176 and 67,242 is: 97,918.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,176 : 67,242 = 67,242 : x
  2. Step 2: Convert to fraction form
    46,176/67,242 = 67,242/x
  3. Step 3: Cross multiply
    46,176x = 67,242 × 67,242
  4. Step 4: Simplify right side
    46,176x = 4,521,486,564
  5. Step 5: Solve for x
    x = 4,521,486,564/46,176
  6. Step 6: Final answer
    x = 97,918.54

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.