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Finding the Third Proportional to 67,089 and 94,032

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Solution

The third proportional to 67,089 and 94,032 is: 131,795.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,089 : 94,032 = 94,032 : x
  2. Step 2: Convert to fraction form
    67,089/94,032 = 94,032/x
  3. Step 3: Cross multiply
    67,089x = 94,032 × 94,032
  4. Step 4: Simplify right side
    67,089x = 8,842,017,024
  5. Step 5: Solve for x
    x = 8,842,017,024/67,089
  6. Step 6: Final answer
    x = 131,795.33

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.