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Finding the Third Proportional to 68,825.06 and 127,637.06

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Solution

The third proportional to 68,825.06 and 127,637.06 is: 236,704.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,825.06 : 127,637.06 = 127,637.06 : x
  2. Step 2: Convert to fraction form
    68,825.06/127,637.06 = 127,637.06/x
  3. Step 3: Cross multiply
    68,825.06x = 127,637.06 × 127,637.06
  4. Step 4: Simplify right side
    68,825.06x = 16,291,219,723.63
  5. Step 5: Solve for x
    x = 16,291,219,723.63/68,825.06
  6. Step 6: Final answer
    x = 236,704.76

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.