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Finding the Third Proportional to 70,393 and 103,627

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Solution

The third proportional to 70,393 and 103,627 is: 152,551.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,393 : 103,627 = 103,627 : x
  2. Step 2: Convert to fraction form
    70,393/103,627 = 103,627/x
  3. Step 3: Cross multiply
    70,393x = 103,627 × 103,627
  4. Step 4: Simplify right side
    70,393x = 10,738,555,129
  5. Step 5: Solve for x
    x = 10,738,555,129/70,393
  6. Step 6: Final answer
    x = 152,551.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.