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Finding the Third Proportional to 46,201.50 and 113,453

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Solution

The third proportional to 46,201.50 and 113,453 is: 278,596.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,201.50 : 113,453 = 113,453 : x
  2. Step 2: Convert to fraction form
    46,201.50/113,453 = 113,453/x
  3. Step 3: Cross multiply
    46,201.50x = 113,453 × 113,453
  4. Step 4: Simplify right side
    46,201.50x = 12,871,583,209
  5. Step 5: Solve for x
    x = 12,871,583,209/46,201.50
  6. Step 6: Final answer
    x = 278,596.65

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Why These Related Problems?

These problems maintain the same ratio (2.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.