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Finding the Third Proportional to 102,922 and 154,666

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Solution

The third proportional to 102,922 and 154,666 is: 232,424.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,922 : 154,666 = 154,666 : x
  2. Step 2: Convert to fraction form
    102,922/154,666 = 154,666/x
  3. Step 3: Cross multiply
    102,922x = 154,666 × 154,666
  4. Step 4: Simplify right side
    102,922x = 23,921,571,556
  5. Step 5: Solve for x
    x = 23,921,571,556/102,922
  6. Step 6: Final answer
    x = 232,424.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.