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Finding the Third Proportional to 70,224 and 153,072

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Solution

The third proportional to 70,224 and 153,072 is: 333,661.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,224 : 153,072 = 153,072 : x
  2. Step 2: Convert to fraction form
    70,224/153,072 = 153,072/x
  3. Step 3: Cross multiply
    70,224x = 153,072 × 153,072
  4. Step 4: Simplify right side
    70,224x = 23,431,037,184
  5. Step 5: Solve for x
    x = 23,431,037,184/70,224
  6. Step 6: Final answer
    x = 333,661.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.