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Finding the Third Proportional to 93,354 and 143,491

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Solution

The third proportional to 93,354 and 143,491 is: 220,554.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,354 : 143,491 = 143,491 : x
  2. Step 2: Convert to fraction form
    93,354/143,491 = 143,491/x
  3. Step 3: Cross multiply
    93,354x = 143,491 × 143,491
  4. Step 4: Simplify right side
    93,354x = 20,589,667,081
  5. Step 5: Solve for x
    x = 20,589,667,081/93,354
  6. Step 6: Final answer
    x = 220,554.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.