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Finding the Third Proportional to 72,656 and 162,324

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Solution

The third proportional to 72,656 and 162,324 is: 362,655.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,656 : 162,324 = 162,324 : x
  2. Step 2: Convert to fraction form
    72,656/162,324 = 162,324/x
  3. Step 3: Cross multiply
    72,656x = 162,324 × 162,324
  4. Step 4: Simplify right side
    72,656x = 26,349,080,976
  5. Step 5: Solve for x
    x = 26,349,080,976/72,656
  6. Step 6: Final answer
    x = 362,655.27

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.