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Finding the Third Proportional to 131,404 and 185,959

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Solution

The third proportional to 131,404 and 185,959 is: 263,163.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,404 : 185,959 = 185,959 : x
  2. Step 2: Convert to fraction form
    131,404/185,959 = 185,959/x
  3. Step 3: Cross multiply
    131,404x = 185,959 × 185,959
  4. Step 4: Simplify right side
    131,404x = 34,580,749,681
  5. Step 5: Solve for x
    x = 34,580,749,681/131,404
  6. Step 6: Final answer
    x = 263,163.60

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.