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Finding the Third Proportional to 102,744 and 154,854

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Solution

The third proportional to 102,744 and 154,854 is: 233,393.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,744 : 154,854 = 154,854 : x
  2. Step 2: Convert to fraction form
    102,744/154,854 = 154,854/x
  3. Step 3: Cross multiply
    102,744x = 154,854 × 154,854
  4. Step 4: Simplify right side
    102,744x = 23,979,761,316
  5. Step 5: Solve for x
    x = 23,979,761,316/102,744
  6. Step 6: Final answer
    x = 233,393.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.