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Finding the Third Proportional to 54,402 and 81,351

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Solution

The third proportional to 54,402 and 81,351 is: 121,649.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,402 : 81,351 = 81,351 : x
  2. Step 2: Convert to fraction form
    54,402/81,351 = 81,351/x
  3. Step 3: Cross multiply
    54,402x = 81,351 × 81,351
  4. Step 4: Simplify right side
    54,402x = 6,617,985,201
  5. Step 5: Solve for x
    x = 6,617,985,201/54,402
  6. Step 6: Final answer
    x = 121,649.67

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Why These Related Problems?

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