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Finding the Third Proportional to 101,672 and 153,308

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Solution

The third proportional to 101,672 and 153,308 is: 231,168.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,672 : 153,308 = 153,308 : x
  2. Step 2: Convert to fraction form
    101,672/153,308 = 153,308/x
  3. Step 3: Cross multiply
    101,672x = 153,308 × 153,308
  4. Step 4: Simplify right side
    101,672x = 23,503,342,864
  5. Step 5: Solve for x
    x = 23,503,342,864/101,672
  6. Step 6: Final answer
    x = 231,168.29

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.