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Finding the Third Proportional to 119,221.88 and 176,782.50

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Solution

The third proportional to 119,221.88 and 176,782.50 is: 262,133.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,221.88 : 176,782.50 = 176,782.50 : x
  2. Step 2: Convert to fraction form
    119,221.88/176,782.50 = 176,782.50/x
  3. Step 3: Cross multiply
    119,221.88x = 176,782.50 × 176,782.50
  4. Step 4: Simplify right side
    119,221.88x = 31,252,052,306.25
  5. Step 5: Solve for x
    x = 31,252,052,306.25/119,221.88
  6. Step 6: Final answer
    x = 262,133.54

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.