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Finding the Third Proportional to 127,669 and 202,064

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Solution

The third proportional to 127,669 and 202,064 is: 319,810.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,669 : 202,064 = 202,064 : x
  2. Step 2: Convert to fraction form
    127,669/202,064 = 202,064/x
  3. Step 3: Cross multiply
    127,669x = 202,064 × 202,064
  4. Step 4: Simplify right side
    127,669x = 40,829,860,096
  5. Step 5: Solve for x
    x = 40,829,860,096/127,669
  6. Step 6: Final answer
    x = 319,810.29

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.