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Finding the Third Proportional to 121,048 and 265,064

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Solution

The third proportional to 121,048 and 265,064 is: 580,422.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,048 : 265,064 = 265,064 : x
  2. Step 2: Convert to fraction form
    121,048/265,064 = 265,064/x
  3. Step 3: Cross multiply
    121,048x = 265,064 × 265,064
  4. Step 4: Simplify right side
    121,048x = 70,258,924,096
  5. Step 5: Solve for x
    x = 70,258,924,096/121,048
  6. Step 6: Final answer
    x = 580,422.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.