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Finding the Third Proportional to 63,576.19 and 96,182.63

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Solution

The third proportional to 63,576.19 and 96,182.63 is: 145,511.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,576.19 : 96,182.63 = 96,182.63 : x
  2. Step 2: Convert to fraction form
    63,576.19/96,182.63 = 96,182.63/x
  3. Step 3: Cross multiply
    63,576.19x = 96,182.63 × 96,182.63
  4. Step 4: Simplify right side
    63,576.19x = 9,251,097,351.89
  5. Step 5: Solve for x
    x = 9,251,097,351.89/63,576.19
  6. Step 6: Final answer
    x = 145,511.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.