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Finding the Third Proportional to 109,516 and 158,259

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Solution

The third proportional to 109,516 and 158,259 is: 228,696.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,516 : 158,259 = 158,259 : x
  2. Step 2: Convert to fraction form
    109,516/158,259 = 158,259/x
  3. Step 3: Cross multiply
    109,516x = 158,259 × 158,259
  4. Step 4: Simplify right side
    109,516x = 25,045,911,081
  5. Step 5: Solve for x
    x = 25,045,911,081/109,516
  6. Step 6: Final answer
    x = 228,696.36

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.