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Finding the Third Proportional to 111,549 and 163,603

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Solution

The third proportional to 111,549 and 163,603 is: 239,947.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,549 : 163,603 = 163,603 : x
  2. Step 2: Convert to fraction form
    111,549/163,603 = 163,603/x
  3. Step 3: Cross multiply
    111,549x = 163,603 × 163,603
  4. Step 4: Simplify right side
    111,549x = 26,765,941,609
  5. Step 5: Solve for x
    x = 26,765,941,609/111,549
  6. Step 6: Final answer
    x = 239,947.84

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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.