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Finding the Third Proportional to 72,760 and 158,476

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Solution

The third proportional to 72,760 and 158,476 is: 345,171.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,760 : 158,476 = 158,476 : x
  2. Step 2: Convert to fraction form
    72,760/158,476 = 158,476/x
  3. Step 3: Cross multiply
    72,760x = 158,476 × 158,476
  4. Step 4: Simplify right side
    72,760x = 25,114,642,576
  5. Step 5: Solve for x
    x = 25,114,642,576/72,760
  6. Step 6: Final answer
    x = 345,171.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.