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Finding the Third Proportional to 116,138.81 and 163,554.19

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Solution

The third proportional to 116,138.81 and 163,554.19 is: 230,327.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,138.81 : 163,554.19 = 163,554.19 : x
  2. Step 2: Convert to fraction form
    116,138.81/163,554.19 = 163,554.19/x
  3. Step 3: Cross multiply
    116,138.81x = 163,554.19 × 163,554.19
  4. Step 4: Simplify right side
    116,138.81x = 26,749,972,248.79
  5. Step 5: Solve for x
    x = 26,749,972,248.79/116,138.81
  6. Step 6: Final answer
    x = 230,327.59

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.