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Finding the Third Proportional to 116,653.50 and 165,205.13

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Solution

The third proportional to 116,653.50 and 165,205.13 is: 233,964.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,653.50 : 165,205.13 = 165,205.13 : x
  2. Step 2: Convert to fraction form
    116,653.50/165,205.13 = 165,205.13/x
  3. Step 3: Cross multiply
    116,653.50x = 165,205.13 × 165,205.13
  4. Step 4: Simplify right side
    116,653.50x = 27,292,733,326.27
  5. Step 5: Solve for x
    x = 27,292,733,326.27/116,653.50
  6. Step 6: Final answer
    x = 233,964.12

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.