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Finding the Third Proportional to 61,816.50 and 132,378.75

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Solution

The third proportional to 61,816.50 and 132,378.75 is: 283,486.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,816.50 : 132,378.75 = 132,378.75 : x
  2. Step 2: Convert to fraction form
    61,816.50/132,378.75 = 132,378.75/x
  3. Step 3: Cross multiply
    61,816.50x = 132,378.75 × 132,378.75
  4. Step 4: Simplify right side
    61,816.50x = 17,524,133,451.56
  5. Step 5: Solve for x
    x = 17,524,133,451.56/61,816.50
  6. Step 6: Final answer
    x = 283,486.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.