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Finding the Third Proportional to 136,544.25 and 208,973.25

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Solution

The third proportional to 136,544.25 and 208,973.25 is: 319,821.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,544.25 : 208,973.25 = 208,973.25 : x
  2. Step 2: Convert to fraction form
    136,544.25/208,973.25 = 208,973.25/x
  3. Step 3: Cross multiply
    136,544.25x = 208,973.25 × 208,973.25
  4. Step 4: Simplify right side
    136,544.25x = 43,669,819,215.56
  5. Step 5: Solve for x
    x = 43,669,819,215.56/136,544.25
  6. Step 6: Final answer
    x = 319,821.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.