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Finding the Third Proportional to 70,927 and 153,673

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Solution

The third proportional to 70,927 and 153,673 is: 332,953.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,927 : 153,673 = 153,673 : x
  2. Step 2: Convert to fraction form
    70,927/153,673 = 153,673/x
  3. Step 3: Cross multiply
    70,927x = 153,673 × 153,673
  4. Step 4: Simplify right side
    70,927x = 23,615,390,929
  5. Step 5: Solve for x
    x = 23,615,390,929/70,927
  6. Step 6: Final answer
    x = 332,953.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.