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Finding the Third Proportional to 119,243.81 and 161,924.06

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Solution

The third proportional to 119,243.81 and 161,924.06 is: 219,880.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,243.81 : 161,924.06 = 161,924.06 : x
  2. Step 2: Convert to fraction form
    119,243.81/161,924.06 = 161,924.06/x
  3. Step 3: Cross multiply
    119,243.81x = 161,924.06 × 161,924.06
  4. Step 4: Simplify right side
    119,243.81x = 26,219,402,016.50
  5. Step 5: Solve for x
    x = 26,219,402,016.50/119,243.81
  6. Step 6: Final answer
    x = 219,880.61

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.