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Finding the Third Proportional to 127,878 and 193,595

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Solution

The third proportional to 127,878 and 193,595 is: 293,084.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,878 : 193,595 = 193,595 : x
  2. Step 2: Convert to fraction form
    127,878/193,595 = 193,595/x
  3. Step 3: Cross multiply
    127,878x = 193,595 × 193,595
  4. Step 4: Simplify right side
    127,878x = 37,479,024,025
  5. Step 5: Solve for x
    x = 37,479,024,025/127,878
  6. Step 6: Final answer
    x = 293,084.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.