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Finding the Third Proportional to 109,472.50 and 164,992

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Solution

The third proportional to 109,472.50 and 164,992 is: 248,668.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,472.50 : 164,992 = 164,992 : x
  2. Step 2: Convert to fraction form
    109,472.50/164,992 = 164,992/x
  3. Step 3: Cross multiply
    109,472.50x = 164,992 × 164,992
  4. Step 4: Simplify right side
    109,472.50x = 27,222,360,064
  5. Step 5: Solve for x
    x = 27,222,360,064/109,472.50
  6. Step 6: Final answer
    x = 248,668.48

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.