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Finding the Third Proportional to 101,823 and 155,364

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Solution

The third proportional to 101,823 and 155,364 is: 237,058.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,823 : 155,364 = 155,364 : x
  2. Step 2: Convert to fraction form
    101,823/155,364 = 155,364/x
  3. Step 3: Cross multiply
    101,823x = 155,364 × 155,364
  4. Step 4: Simplify right side
    101,823x = 24,137,972,496
  5. Step 5: Solve for x
    x = 24,137,972,496/101,823
  6. Step 6: Final answer
    x = 237,058.15

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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.