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Finding the Third Proportional to 124,638.75 and 186,911.06

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Solution

The third proportional to 124,638.75 and 186,911.06 is: 280,296.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,638.75 : 186,911.06 = 186,911.06 : x
  2. Step 2: Convert to fraction form
    124,638.75/186,911.06 = 186,911.06/x
  3. Step 3: Cross multiply
    124,638.75x = 186,911.06 × 186,911.06
  4. Step 4: Simplify right side
    124,638.75x = 34,935,745,284.88
  5. Step 5: Solve for x
    x = 34,935,745,284.88/124,638.75
  6. Step 6: Final answer
    x = 280,296.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.