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Finding the Third Proportional to 65,977.88 and 155,595.94

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Solution

The third proportional to 65,977.88 and 155,595.94 is: 366,942.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,977.88 : 155,595.94 = 155,595.94 : x
  2. Step 2: Convert to fraction form
    65,977.88/155,595.94 = 155,595.94/x
  3. Step 3: Cross multiply
    65,977.88x = 155,595.94 × 155,595.94
  4. Step 4: Simplify right side
    65,977.88x = 24,210,095,766.50
  5. Step 5: Solve for x
    x = 24,210,095,766.50/65,977.88
  6. Step 6: Final answer
    x = 366,942.64

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.