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Finding the Third Proportional to 68,829.56 and 127,646.06

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Solution

The third proportional to 68,829.56 and 127,646.06 is: 236,722.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,829.56 : 127,646.06 = 127,646.06 : x
  2. Step 2: Convert to fraction form
    68,829.56/127,646.06 = 127,646.06/x
  3. Step 3: Cross multiply
    68,829.56x = 127,646.06 × 127,646.06
  4. Step 4: Simplify right side
    68,829.56x = 16,293,517,271.75
  5. Step 5: Solve for x
    x = 16,293,517,271.75/68,829.56
  6. Step 6: Final answer
    x = 236,722.66

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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.