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Finding the Third Proportional to 74,196 and 154,536

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Solution

The third proportional to 74,196 and 154,536 is: 321,868.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,196 : 154,536 = 154,536 : x
  2. Step 2: Convert to fraction form
    74,196/154,536 = 154,536/x
  3. Step 3: Cross multiply
    74,196x = 154,536 × 154,536
  4. Step 4: Simplify right side
    74,196x = 23,881,375,296
  5. Step 5: Solve for x
    x = 23,881,375,296/74,196
  6. Step 6: Final answer
    x = 321,868.77

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.