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Finding the Third Proportional to 118,189.69 and 176,866.88

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Solution

The third proportional to 118,189.69 and 176,866.88 is: 264,675.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,189.69 : 176,866.88 = 176,866.88 : x
  2. Step 2: Convert to fraction form
    118,189.69/176,866.88 = 176,866.88/x
  3. Step 3: Cross multiply
    118,189.69x = 176,866.88 × 176,866.88
  4. Step 4: Simplify right side
    118,189.69x = 31,281,891,472.27
  5. Step 5: Solve for x
    x = 31,281,891,472.27/118,189.69
  6. Step 6: Final answer
    x = 264,675.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.