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Finding the Third Proportional to 72,047 and 155,191

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Solution

The third proportional to 72,047 and 155,191 is: 334,285.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,047 : 155,191 = 155,191 : x
  2. Step 2: Convert to fraction form
    72,047/155,191 = 155,191/x
  3. Step 3: Cross multiply
    72,047x = 155,191 × 155,191
  4. Step 4: Simplify right side
    72,047x = 24,084,246,481
  5. Step 5: Solve for x
    x = 24,084,246,481/72,047
  6. Step 6: Final answer
    x = 334,285.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.