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Finding the Third Proportional to 100,954.50 and 155,644

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Solution

The third proportional to 100,954.50 and 155,644 is: 239,960.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,954.50 : 155,644 = 155,644 : x
  2. Step 2: Convert to fraction form
    100,954.50/155,644 = 155,644/x
  3. Step 3: Cross multiply
    100,954.50x = 155,644 × 155,644
  4. Step 4: Simplify right side
    100,954.50x = 24,225,054,736
  5. Step 5: Solve for x
    x = 24,225,054,736/100,954.50
  6. Step 6: Final answer
    x = 239,960.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.