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Finding the Third Proportional to 109,701 and 163,833

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Solution

The third proportional to 109,701 and 163,833 is: 244,676.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,701 : 163,833 = 163,833 : x
  2. Step 2: Convert to fraction form
    109,701/163,833 = 163,833/x
  3. Step 3: Cross multiply
    109,701x = 163,833 × 163,833
  4. Step 4: Simplify right side
    109,701x = 26,841,251,889
  5. Step 5: Solve for x
    x = 26,841,251,889/109,701
  6. Step 6: Final answer
    x = 244,676.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.