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Finding the Third Proportional to 106,848 and 154,752

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Solution

The third proportional to 106,848 and 154,752 is: 224,133.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,848 : 154,752 = 154,752 : x
  2. Step 2: Convert to fraction form
    106,848/154,752 = 154,752/x
  3. Step 3: Cross multiply
    106,848x = 154,752 × 154,752
  4. Step 4: Simplify right side
    106,848x = 23,948,181,504
  5. Step 5: Solve for x
    x = 23,948,181,504/106,848
  6. Step 6: Final answer
    x = 224,133.18

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.