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Finding the Third Proportional to 63,653.63 and 132,538.50

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Solution

The third proportional to 63,653.63 and 132,538.50 is: 275,969.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,653.63 : 132,538.50 = 132,538.50 : x
  2. Step 2: Convert to fraction form
    63,653.63/132,538.50 = 132,538.50/x
  3. Step 3: Cross multiply
    63,653.63x = 132,538.50 × 132,538.50
  4. Step 4: Simplify right side
    63,653.63x = 17,566,453,982.25
  5. Step 5: Solve for x
    x = 17,566,453,982.25/63,653.63
  6. Step 6: Final answer
    x = 275,969.42

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.