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Finding the Third Proportional to 101,065 and 154,678

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Solution

The third proportional to 101,065 and 154,678 is: 236,731.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,065 : 154,678 = 154,678 : x
  2. Step 2: Convert to fraction form
    101,065/154,678 = 154,678/x
  3. Step 3: Cross multiply
    101,065x = 154,678 × 154,678
  4. Step 4: Simplify right side
    101,065x = 23,925,283,684
  5. Step 5: Solve for x
    x = 23,925,283,684/101,065
  6. Step 6: Final answer
    x = 236,731.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.