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Finding the Third Proportional to 109,673 and 165,319

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Solution

The third proportional to 109,673 and 165,319 is: 249,198.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,673 : 165,319 = 165,319 : x
  2. Step 2: Convert to fraction form
    109,673/165,319 = 165,319/x
  3. Step 3: Cross multiply
    109,673x = 165,319 × 165,319
  4. Step 4: Simplify right side
    109,673x = 27,330,371,761
  5. Step 5: Solve for x
    x = 27,330,371,761/109,673
  6. Step 6: Final answer
    x = 249,198.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.