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Finding the Third Proportional to 64,030 and 92,504

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Solution

The third proportional to 64,030 and 92,504 is: 133,640.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,030 : 92,504 = 92,504 : x
  2. Step 2: Convert to fraction form
    64,030/92,504 = 92,504/x
  3. Step 3: Cross multiply
    64,030x = 92,504 × 92,504
  4. Step 4: Simplify right side
    64,030x = 8,556,990,016
  5. Step 5: Solve for x
    x = 8,556,990,016/64,030
  6. Step 6: Final answer
    x = 133,640.33

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.