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Finding the Third Proportional to 69,996 and 151,224

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Solution

The third proportional to 69,996 and 151,224 is: 326,714.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,996 : 151,224 = 151,224 : x
  2. Step 2: Convert to fraction form
    69,996/151,224 = 151,224/x
  3. Step 3: Cross multiply
    69,996x = 151,224 × 151,224
  4. Step 4: Simplify right side
    69,996x = 22,868,698,176
  5. Step 5: Solve for x
    x = 22,868,698,176/69,996
  6. Step 6: Final answer
    x = 326,714.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.