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Finding the Third Proportional to 64,027 and 93,964

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Solution

The third proportional to 64,027 and 93,964 is: 137,898.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,027 : 93,964 = 93,964 : x
  2. Step 2: Convert to fraction form
    64,027/93,964 = 93,964/x
  3. Step 3: Cross multiply
    64,027x = 93,964 × 93,964
  4. Step 4: Simplify right side
    64,027x = 8,829,233,296
  5. Step 5: Solve for x
    x = 8,829,233,296/64,027
  6. Step 6: Final answer
    x = 137,898.59

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.