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Finding the Third Proportional to 72,664 and 162,335

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Solution

The third proportional to 72,664 and 162,335 is: 362,664.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,664 : 162,335 = 162,335 : x
  2. Step 2: Convert to fraction form
    72,664/162,335 = 162,335/x
  3. Step 3: Cross multiply
    72,664x = 162,335 × 162,335
  4. Step 4: Simplify right side
    72,664x = 26,352,652,225
  5. Step 5: Solve for x
    x = 26,352,652,225/72,664
  6. Step 6: Final answer
    x = 362,664.49

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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.