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Finding the Third Proportional to 137,782.69 and 201,954.94

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Solution

The third proportional to 137,782.69 and 201,954.94 is: 296,015.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,782.69 : 201,954.94 = 201,954.94 : x
  2. Step 2: Convert to fraction form
    137,782.69/201,954.94 = 201,954.94/x
  3. Step 3: Cross multiply
    137,782.69x = 201,954.94 × 201,954.94
  4. Step 4: Simplify right side
    137,782.69x = 40,785,796,780.63
  5. Step 5: Solve for x
    x = 40,785,796,780.63/137,782.69
  6. Step 6: Final answer
    x = 296,015.40

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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.