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Finding the Third Proportional to 127,319 and 265,093

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Solution

The third proportional to 127,319 and 265,093 is: 551,954.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,319 : 265,093 = 265,093 : x
  2. Step 2: Convert to fraction form
    127,319/265,093 = 265,093/x
  3. Step 3: Cross multiply
    127,319x = 265,093 × 265,093
  4. Step 4: Simplify right side
    127,319x = 70,274,298,649
  5. Step 5: Solve for x
    x = 70,274,298,649/127,319
  6. Step 6: Final answer
    x = 551,954.53

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.