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Finding the Third Proportional to 69,934.50 and 111,222

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Solution

The third proportional to 69,934.50 and 111,222 is: 176,884.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,934.50 : 111,222 = 111,222 : x
  2. Step 2: Convert to fraction form
    69,934.50/111,222 = 111,222/x
  3. Step 3: Cross multiply
    69,934.50x = 111,222 × 111,222
  4. Step 4: Simplify right side
    69,934.50x = 12,370,333,284
  5. Step 5: Solve for x
    x = 12,370,333,284/69,934.50
  6. Step 6: Final answer
    x = 176,884.56

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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.