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Finding the Third Proportional to 72,123 and 155,343

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Solution

The third proportional to 72,123 and 155,343 is: 334,587.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,123 : 155,343 = 155,343 : x
  2. Step 2: Convert to fraction form
    72,123/155,343 = 155,343/x
  3. Step 3: Cross multiply
    72,123x = 155,343 × 155,343
  4. Step 4: Simplify right side
    72,123x = 24,131,447,649
  5. Step 5: Solve for x
    x = 24,131,447,649/72,123
  6. Step 6: Final answer
    x = 334,587.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.