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Finding the Third Proportional to 115,556 and 154,562

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Solution

The third proportional to 115,556 and 154,562 is: 206,734.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,556 : 154,562 = 154,562 : x
  2. Step 2: Convert to fraction form
    115,556/154,562 = 154,562/x
  3. Step 3: Cross multiply
    115,556x = 154,562 × 154,562
  4. Step 4: Simplify right side
    115,556x = 23,889,411,844
  5. Step 5: Solve for x
    x = 23,889,411,844/115,556
  6. Step 6: Final answer
    x = 206,734.50

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.