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Finding the Third Proportional to 113,078 and 153,571

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Solution

The third proportional to 113,078 and 153,571 is: 208,564.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,078 : 153,571 = 153,571 : x
  2. Step 2: Convert to fraction form
    113,078/153,571 = 153,571/x
  3. Step 3: Cross multiply
    113,078x = 153,571 × 153,571
  4. Step 4: Simplify right side
    113,078x = 23,584,052,041
  5. Step 5: Solve for x
    x = 23,584,052,041/113,078
  6. Step 6: Final answer
    x = 208,564.46

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.