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Finding the Third Proportional to 94,210.50 and 141,519

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Solution

The third proportional to 94,210.50 and 141,519 is: 212,583.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,210.50 : 141,519 = 141,519 : x
  2. Step 2: Convert to fraction form
    94,210.50/141,519 = 141,519/x
  3. Step 3: Cross multiply
    94,210.50x = 141,519 × 141,519
  4. Step 4: Simplify right side
    94,210.50x = 20,027,627,361
  5. Step 5: Solve for x
    x = 20,027,627,361/94,210.50
  6. Step 6: Final answer
    x = 212,583.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.