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Finding the Third Proportional to 72,164 and 107,476

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Solution

The third proportional to 72,164 and 107,476 is: 160,067.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,164 : 107,476 = 107,476 : x
  2. Step 2: Convert to fraction form
    72,164/107,476 = 107,476/x
  3. Step 3: Cross multiply
    72,164x = 107,476 × 107,476
  4. Step 4: Simplify right side
    72,164x = 11,551,090,576
  5. Step 5: Solve for x
    x = 11,551,090,576/72,164
  6. Step 6: Final answer
    x = 160,067.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.