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Finding the Third Proportional to 84,124 and 176,036

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Solution

The third proportional to 84,124 and 176,036 is: 368,368.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,124 : 176,036 = 176,036 : x
  2. Step 2: Convert to fraction form
    84,124/176,036 = 176,036/x
  3. Step 3: Cross multiply
    84,124x = 176,036 × 176,036
  4. Step 4: Simplify right side
    84,124x = 30,988,673,296
  5. Step 5: Solve for x
    x = 30,988,673,296/84,124
  6. Step 6: Final answer
    x = 368,368.99

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.