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Finding the Third Proportional to 72,662.70 and 155,835.77

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Solution

The third proportional to 72,662.70 and 155,835.77 is: 334,212.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,662.70 : 155,835.77 = 155,835.77 : x
  2. Step 2: Convert to fraction form
    72,662.70/155,835.77 = 155,835.77/x
  3. Step 3: Cross multiply
    72,662.70x = 155,835.77 × 155,835.77
  4. Step 4: Simplify right side
    72,662.70x = 24,284,788,282.86
  5. Step 5: Solve for x
    x = 24,284,788,282.86/72,662.70
  6. Step 6: Final answer
    x = 334,212.60

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.