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Finding the Third Proportional to 64,029.82 and 93,709.29

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Solution

The third proportional to 64,029.82 and 93,709.29 is: 137,145.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,029.82 : 93,709.29 = 93,709.29 : x
  2. Step 2: Convert to fraction form
    64,029.82/93,709.29 = 93,709.29/x
  3. Step 3: Cross multiply
    64,029.82x = 93,709.29 × 93,709.29
  4. Step 4: Simplify right side
    64,029.82x = 8,781,431,508.63
  5. Step 5: Solve for x
    x = 8,781,431,508.63/64,029.82
  6. Step 6: Final answer
    x = 137,145.97

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.