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Finding the Third Proportional to 62,310 and 132,409.50

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Solution

The third proportional to 62,310 and 132,409.50 is: 281,371.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,310 : 132,409.50 = 132,409.50 : x
  2. Step 2: Convert to fraction form
    62,310/132,409.50 = 132,409.50/x
  3. Step 3: Cross multiply
    62,310x = 132,409.50 × 132,409.50
  4. Step 4: Simplify right side
    62,310x = 17,532,275,690.25
  5. Step 5: Solve for x
    x = 17,532,275,690.25/62,310
  6. Step 6: Final answer
    x = 281,371.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.