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Finding the Third Proportional to 114,042.50 and 164,274

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Solution

The third proportional to 114,042.50 and 164,274 is: 236,630.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,042.50 : 164,274 = 164,274 : x
  2. Step 2: Convert to fraction form
    114,042.50/164,274 = 164,274/x
  3. Step 3: Cross multiply
    114,042.50x = 164,274 × 164,274
  4. Step 4: Simplify right side
    114,042.50x = 26,985,947,076
  5. Step 5: Solve for x
    x = 26,985,947,076/114,042.50
  6. Step 6: Final answer
    x = 236,630.62

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