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Finding the Third Proportional to 66,733.88 and 145,778.63

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Solution

The third proportional to 66,733.88 and 145,778.63 is: 318,450.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,733.88 : 145,778.63 = 145,778.63 : x
  2. Step 2: Convert to fraction form
    66,733.88/145,778.63 = 145,778.63/x
  3. Step 3: Cross multiply
    66,733.88x = 145,778.63 × 145,778.63
  4. Step 4: Simplify right side
    66,733.88x = 21,251,407,506.89
  5. Step 5: Solve for x
    x = 21,251,407,506.89/66,733.88
  6. Step 6: Final answer
    x = 318,450.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.