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Finding the Third Proportional to 66,929.75 and 103,634.25

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Solution

The third proportional to 66,929.75 and 103,634.25 is: 160,467.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,929.75 : 103,634.25 = 103,634.25 : x
  2. Step 2: Convert to fraction form
    66,929.75/103,634.25 = 103,634.25/x
  3. Step 3: Cross multiply
    66,929.75x = 103,634.25 × 103,634.25
  4. Step 4: Simplify right side
    66,929.75x = 10,740,057,773.06
  5. Step 5: Solve for x
    x = 10,740,057,773.06/66,929.75
  6. Step 6: Final answer
    x = 160,467.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.