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Finding the Third Proportional to 66,474.84 and 105,706.27

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Solution

The third proportional to 66,474.84 and 105,706.27 is: 168,090.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,474.84 : 105,706.27 = 105,706.27 : x
  2. Step 2: Convert to fraction form
    66,474.84/105,706.27 = 105,706.27/x
  3. Step 3: Cross multiply
    66,474.84x = 105,706.27 × 105,706.27
  4. Step 4: Simplify right side
    66,474.84x = 11,173,814,592.38
  5. Step 5: Solve for x
    x = 11,173,814,592.38/66,474.84
  6. Step 6: Final answer
    x = 168,090.87

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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.