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Finding the Third Proportional to 123,762.94 and 271,193.06

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Solution

The third proportional to 123,762.94 and 271,193.06 is: 594,246.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,762.94 : 271,193.06 = 271,193.06 : x
  2. Step 2: Convert to fraction form
    123,762.94/271,193.06 = 271,193.06/x
  3. Step 3: Cross multiply
    123,762.94x = 271,193.06 × 271,193.06
  4. Step 4: Simplify right side
    123,762.94x = 73,545,677,148.13
  5. Step 5: Solve for x
    x = 73,545,677,148.13/123,762.94
  6. Step 6: Final answer
    x = 594,246.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.