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Finding the Third Proportional to 66,706.88 and 101,435.63

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Solution

The third proportional to 66,706.88 and 101,435.63 is: 154,244.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,706.88 : 101,435.63 = 101,435.63 : x
  2. Step 2: Convert to fraction form
    66,706.88/101,435.63 = 101,435.63/x
  3. Step 3: Cross multiply
    66,706.88x = 101,435.63 × 101,435.63
  4. Step 4: Simplify right side
    66,706.88x = 10,289,186,019.14
  5. Step 5: Solve for x
    x = 10,289,186,019.14/66,706.88
  6. Step 6: Final answer
    x = 154,244.76

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.