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Finding the Third Proportional to 72,659.50 and 162,329

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Solution

The third proportional to 72,659.50 and 162,329 is: 362,660.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,659.50 : 162,329 = 162,329 : x
  2. Step 2: Convert to fraction form
    72,659.50/162,329 = 162,329/x
  3. Step 3: Cross multiply
    72,659.50x = 162,329 × 162,329
  4. Step 4: Simplify right side
    72,659.50x = 26,350,704,241
  5. Step 5: Solve for x
    x = 26,350,704,241/72,659.50
  6. Step 6: Final answer
    x = 362,660.14

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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.