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Finding the Third Proportional to 106,145 and 154,842

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Solution

The third proportional to 106,145 and 154,842 is: 225,880.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,145 : 154,842 = 154,842 : x
  2. Step 2: Convert to fraction form
    106,145/154,842 = 154,842/x
  3. Step 3: Cross multiply
    106,145x = 154,842 × 154,842
  4. Step 4: Simplify right side
    106,145x = 23,976,044,964
  5. Step 5: Solve for x
    x = 23,976,044,964/106,145
  6. Step 6: Final answer
    x = 225,880.12

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.