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Finding the Third Proportional to 101,915 and 154,412

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Solution

The third proportional to 101,915 and 154,412 is: 233,950.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,915 : 154,412 = 154,412 : x
  2. Step 2: Convert to fraction form
    101,915/154,412 = 154,412/x
  3. Step 3: Cross multiply
    101,915x = 154,412 × 154,412
  4. Step 4: Simplify right side
    101,915x = 23,843,065,744
  5. Step 5: Solve for x
    x = 23,843,065,744/101,915
  6. Step 6: Final answer
    x = 233,950.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.