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Finding the Third Proportional to 67,106 and 101,505

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Solution

The third proportional to 67,106 and 101,505 is: 153,537.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,106 : 101,505 = 101,505 : x
  2. Step 2: Convert to fraction form
    67,106/101,505 = 101,505/x
  3. Step 3: Cross multiply
    67,106x = 101,505 × 101,505
  4. Step 4: Simplify right side
    67,106x = 10,303,265,025
  5. Step 5: Solve for x
    x = 10,303,265,025/67,106
  6. Step 6: Final answer
    x = 153,537.17

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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.