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Finding the Third Proportional to 46,272 and 68,544

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Solution

The third proportional to 46,272 and 68,544 is: 101,536.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,272 : 68,544 = 68,544 : x
  2. Step 2: Convert to fraction form
    46,272/68,544 = 68,544/x
  3. Step 3: Cross multiply
    46,272x = 68,544 × 68,544
  4. Step 4: Simplify right side
    46,272x = 4,698,279,936
  5. Step 5: Solve for x
    x = 4,698,279,936/46,272
  6. Step 6: Final answer
    x = 101,536.13

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.