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Finding the Third Proportional to 66,888 and 103,272

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Solution

The third proportional to 66,888 and 103,272 is: 159,447.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,888 : 103,272 = 103,272 : x
  2. Step 2: Convert to fraction form
    66,888/103,272 = 103,272/x
  3. Step 3: Cross multiply
    66,888x = 103,272 × 103,272
  4. Step 4: Simplify right side
    66,888x = 10,665,105,984
  5. Step 5: Solve for x
    x = 10,665,105,984/66,888
  6. Step 6: Final answer
    x = 159,447.22

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.