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Finding the Third Proportional to 127,956.75 and 264,109.50

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Solution

The third proportional to 127,956.75 and 264,109.50 is: 545,135.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,956.75 : 264,109.50 = 264,109.50 : x
  2. Step 2: Convert to fraction form
    127,956.75/264,109.50 = 264,109.50/x
  3. Step 3: Cross multiply
    127,956.75x = 264,109.50 × 264,109.50
  4. Step 4: Simplify right side
    127,956.75x = 69,753,827,990.25
  5. Step 5: Solve for x
    x = 69,753,827,990.25/127,956.75
  6. Step 6: Final answer
    x = 545,135.98

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.