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Finding the Third Proportional to 68,202 and 105,219

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Solution

The third proportional to 68,202 and 105,219 is: 162,327.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,202 : 105,219 = 105,219 : x
  2. Step 2: Convert to fraction form
    68,202/105,219 = 105,219/x
  3. Step 3: Cross multiply
    68,202x = 105,219 × 105,219
  4. Step 4: Simplify right side
    68,202x = 11,071,037,961
  5. Step 5: Solve for x
    x = 11,071,037,961/68,202
  6. Step 6: Final answer
    x = 162,327.17

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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.