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Finding the Third Proportional to 114,873 and 176,524.50

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Solution

The third proportional to 114,873 and 176,524.50 is: 271,263.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,873 : 176,524.50 = 176,524.50 : x
  2. Step 2: Convert to fraction form
    114,873/176,524.50 = 176,524.50/x
  3. Step 3: Cross multiply
    114,873x = 176,524.50 × 176,524.50
  4. Step 4: Simplify right side
    114,873x = 31,160,899,100.25
  5. Step 5: Solve for x
    x = 31,160,899,100.25/114,873
  6. Step 6: Final answer
    x = 271,263.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.