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Finding the Third Proportional to 63,467.30 and 137,875.92

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Solution

The third proportional to 63,467.30 and 137,875.92 is: 299,520.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,467.30 : 137,875.92 = 137,875.92 : x
  2. Step 2: Convert to fraction form
    63,467.30/137,875.92 = 137,875.92/x
  3. Step 3: Cross multiply
    63,467.30x = 137,875.92 × 137,875.92
  4. Step 4: Simplify right side
    63,467.30x = 19,009,769,832.88
  5. Step 5: Solve for x
    x = 19,009,769,832.88/63,467.30
  6. Step 6: Final answer
    x = 299,520.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.