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Finding the Third Proportional to 111,058.50 and 176,633.75

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Solution

The third proportional to 111,058.50 and 176,633.75 is: 280,928.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,058.50 : 176,633.75 = 176,633.75 : x
  2. Step 2: Convert to fraction form
    111,058.50/176,633.75 = 176,633.75/x
  3. Step 3: Cross multiply
    111,058.50x = 176,633.75 × 176,633.75
  4. Step 4: Simplify right side
    111,058.50x = 31,199,481,639.06
  5. Step 5: Solve for x
    x = 31,199,481,639.06/111,058.50
  6. Step 6: Final answer
    x = 280,928.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.