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Finding the Third Proportional to 93,571 and 143,827

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Solution

The third proportional to 93,571 and 143,827 is: 221,074.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,571 : 143,827 = 143,827 : x
  2. Step 2: Convert to fraction form
    93,571/143,827 = 143,827/x
  3. Step 3: Cross multiply
    93,571x = 143,827 × 143,827
  4. Step 4: Simplify right side
    93,571x = 20,686,205,929
  5. Step 5: Solve for x
    x = 20,686,205,929/93,571
  6. Step 6: Final answer
    x = 221,074.97

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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.