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Finding the Third Proportional to 136,973.25 and 200,721.38

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Solution

The third proportional to 136,973.25 and 200,721.38 is: 294,138.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,973.25 : 200,721.38 = 200,721.38 : x
  2. Step 2: Convert to fraction form
    136,973.25/200,721.38 = 200,721.38/x
  3. Step 3: Cross multiply
    136,973.25x = 200,721.38 × 200,721.38
  4. Step 4: Simplify right side
    136,973.25x = 40,289,070,381.89
  5. Step 5: Solve for x
    x = 40,289,070,381.89/136,973.25
  6. Step 6: Final answer
    x = 294,138.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.