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Finding the Third Proportional to 86,556 and 131,454

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Solution

The third proportional to 86,556 and 131,454 is: 199,641.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,556 : 131,454 = 131,454 : x
  2. Step 2: Convert to fraction form
    86,556/131,454 = 131,454/x
  3. Step 3: Cross multiply
    86,556x = 131,454 × 131,454
  4. Step 4: Simplify right side
    86,556x = 17,280,154,116
  5. Step 5: Solve for x
    x = 17,280,154,116/86,556
  6. Step 6: Final answer
    x = 199,641.32

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.