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Finding the Third Proportional to 127,323 and 265,101

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Solution

The third proportional to 127,323 and 265,101 is: 551,970.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,323 : 265,101 = 265,101 : x
  2. Step 2: Convert to fraction form
    127,323/265,101 = 265,101/x
  3. Step 3: Cross multiply
    127,323x = 265,101 × 265,101
  4. Step 4: Simplify right side
    127,323x = 70,278,540,201
  5. Step 5: Solve for x
    x = 70,278,540,201/127,323
  6. Step 6: Final answer
    x = 551,970.50

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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.