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Finding the Third Proportional to 127,321 and 265,097

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Solution

The third proportional to 127,321 and 265,097 is: 551,962.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,321 : 265,097 = 265,097 : x
  2. Step 2: Convert to fraction form
    127,321/265,097 = 265,097/x
  3. Step 3: Cross multiply
    127,321x = 265,097 × 265,097
  4. Step 4: Simplify right side
    127,321x = 70,276,419,409
  5. Step 5: Solve for x
    x = 70,276,419,409/127,321
  6. Step 6: Final answer
    x = 551,962.52

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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.