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Finding the Third Proportional to 106,840 and 154,748

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Solution

The third proportional to 106,840 and 154,748 is: 224,138.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,840 : 154,748 = 154,748 : x
  2. Step 2: Convert to fraction form
    106,840/154,748 = 154,748/x
  3. Step 3: Cross multiply
    106,840x = 154,748 × 154,748
  4. Step 4: Simplify right side
    106,840x = 23,946,943,504
  5. Step 5: Solve for x
    x = 23,946,943,504/106,840
  6. Step 6: Final answer
    x = 224,138.37

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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.