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Finding the Third Proportional to 105,895.97 and 161,325.84

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Solution

The third proportional to 105,895.97 and 161,325.84 is: 245,769.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,895.97 : 161,325.84 = 161,325.84 : x
  2. Step 2: Convert to fraction form
    105,895.97/161,325.84 = 161,325.84/x
  3. Step 3: Cross multiply
    105,895.97x = 161,325.84 × 161,325.84
  4. Step 4: Simplify right side
    105,895.97x = 26,026,027,861.65
  5. Step 5: Solve for x
    x = 26,026,027,861.65/105,895.97
  6. Step 6: Final answer
    x = 245,769.77

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.