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Finding the Third Proportional to 137,669.63 and 211,668.19

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Solution

The third proportional to 137,669.63 and 211,668.19 is: 325,441.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,669.63 : 211,668.19 = 211,668.19 : x
  2. Step 2: Convert to fraction form
    137,669.63/211,668.19 = 211,668.19/x
  3. Step 3: Cross multiply
    137,669.63x = 211,668.19 × 211,668.19
  4. Step 4: Simplify right side
    137,669.63x = 44,803,421,599.54
  5. Step 5: Solve for x
    x = 44,803,421,599.54/137,669.63
  6. Step 6: Final answer
    x = 325,441.59

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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.