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Finding the Third Proportional to 69,984 and 94,608

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Solution

The third proportional to 69,984 and 94,608 is: 127,896

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,984 : 94,608 = 94,608 : x
  2. Step 2: Convert to fraction form
    69,984/94,608 = 94,608/x
  3. Step 3: Cross multiply
    69,984x = 94,608 × 94,608
  4. Step 4: Simplify right side
    69,984x = 8,950,673,664
  5. Step 5: Solve for x
    x = 8,950,673,664/69,984
  6. Step 6: Final answer
    x = 127,896

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.