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Finding the Third Proportional to 106,155 and 154,854

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Solution

The third proportional to 106,155 and 154,854 is: 225,893.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,155 : 154,854 = 154,854 : x
  2. Step 2: Convert to fraction form
    106,155/154,854 = 154,854/x
  3. Step 3: Cross multiply
    106,155x = 154,854 × 154,854
  4. Step 4: Simplify right side
    106,155x = 23,979,761,316
  5. Step 5: Solve for x
    x = 23,979,761,316/106,155
  6. Step 6: Final answer
    x = 225,893.85

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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.