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Finding the Third Proportional to 67,927.75 and 148,977.50

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Solution

The third proportional to 67,927.75 and 148,977.50 is: 326,733.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,927.75 : 148,977.50 = 148,977.50 : x
  2. Step 2: Convert to fraction form
    67,927.75/148,977.50 = 148,977.50/x
  3. Step 3: Cross multiply
    67,927.75x = 148,977.50 × 148,977.50
  4. Step 4: Simplify right side
    67,927.75x = 22,194,295,506.25
  5. Step 5: Solve for x
    x = 22,194,295,506.25/67,927.75
  6. Step 6: Final answer
    x = 326,733.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.