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Finding the Third Proportional to 100,827 and 154,765

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Solution

The third proportional to 100,827 and 154,765 is: 237,557.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,827 : 154,765 = 154,765 : x
  2. Step 2: Convert to fraction form
    100,827/154,765 = 154,765/x
  3. Step 3: Cross multiply
    100,827x = 154,765 × 154,765
  4. Step 4: Simplify right side
    100,827x = 23,952,205,225
  5. Step 5: Solve for x
    x = 23,952,205,225/100,827
  6. Step 6: Final answer
    x = 237,557.45

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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.