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Finding the Third Proportional to 70,206 and 153,531

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Solution

The third proportional to 70,206 and 153,531 is: 335,751.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,206 : 153,531 = 153,531 : x
  2. Step 2: Convert to fraction form
    70,206/153,531 = 153,531/x
  3. Step 3: Cross multiply
    70,206x = 153,531 × 153,531
  4. Step 4: Simplify right side
    70,206x = 23,571,767,961
  5. Step 5: Solve for x
    x = 23,571,767,961/70,206
  6. Step 6: Final answer
    x = 335,751.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.