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Finding the Third Proportional to 69,702.75 and 110,770.88

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Solution

The third proportional to 69,702.75 and 110,770.88 is: 176,035.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,702.75 : 110,770.88 = 110,770.88 : x
  2. Step 2: Convert to fraction form
    69,702.75/110,770.88 = 110,770.88/x
  3. Step 3: Cross multiply
    69,702.75x = 110,770.88 × 110,770.88
  4. Step 4: Simplify right side
    69,702.75x = 12,270,186,748.27
  5. Step 5: Solve for x
    x = 12,270,186,748.27/69,702.75
  6. Step 6: Final answer
    x = 176,035.91

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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.