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Finding the Third Proportional to 109,746 and 163,971

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Solution

The third proportional to 109,746 and 163,971 is: 244,988.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,746 : 163,971 = 163,971 : x
  2. Step 2: Convert to fraction form
    109,746/163,971 = 163,971/x
  3. Step 3: Cross multiply
    109,746x = 163,971 × 163,971
  4. Step 4: Simplify right side
    109,746x = 26,886,488,841
  5. Step 5: Solve for x
    x = 26,886,488,841/109,746
  6. Step 6: Final answer
    x = 244,988.33

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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.