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Finding the Third Proportional to 104,010.75 and 148,638.38

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Solution

The third proportional to 104,010.75 and 148,638.38 is: 212,414.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,010.75 : 148,638.38 = 148,638.38 : x
  2. Step 2: Convert to fraction form
    104,010.75/148,638.38 = 148,638.38/x
  3. Step 3: Cross multiply
    104,010.75x = 148,638.38 × 148,638.38
  4. Step 4: Simplify right side
    104,010.75x = 22,093,366,522.64
  5. Step 5: Solve for x
    x = 22,093,366,522.64/104,010.75
  6. Step 6: Final answer
    x = 212,414.26

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.