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Finding the Third Proportional to 72,103.50 and 155,301

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Solution

The third proportional to 72,103.50 and 155,301 is: 334,496.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,103.50 : 155,301 = 155,301 : x
  2. Step 2: Convert to fraction form
    72,103.50/155,301 = 155,301/x
  3. Step 3: Cross multiply
    72,103.50x = 155,301 × 155,301
  4. Step 4: Simplify right side
    72,103.50x = 24,118,400,601
  5. Step 5: Solve for x
    x = 24,118,400,601/72,103.50
  6. Step 6: Final answer
    x = 334,496.95

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