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Finding the Third Proportional to 127,291 and 265,039

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Solution

The third proportional to 127,291 and 265,039 is: 551,851.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,291 : 265,039 = 265,039 : x
  2. Step 2: Convert to fraction form
    127,291/265,039 = 265,039/x
  3. Step 3: Cross multiply
    127,291x = 265,039 × 265,039
  4. Step 4: Simplify right side
    127,291x = 70,245,671,521
  5. Step 5: Solve for x
    x = 70,245,671,521/127,291
  6. Step 6: Final answer
    x = 551,851.05

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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.