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Finding the Third Proportional to 46,936 and 101,272

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Solution

The third proportional to 46,936 and 101,272 is: 218,510.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,936 : 101,272 = 101,272 : x
  2. Step 2: Convert to fraction form
    46,936/101,272 = 101,272/x
  3. Step 3: Cross multiply
    46,936x = 101,272 × 101,272
  4. Step 4: Simplify right side
    46,936x = 10,256,017,984
  5. Step 5: Solve for x
    x = 10,256,017,984/46,936
  6. Step 6: Final answer
    x = 218,510.70

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.