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Finding the Third Proportional to 66,953 and 88,855

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Solution

The third proportional to 66,953 and 88,855 is: 117,921.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,953 : 88,855 = 88,855 : x
  2. Step 2: Convert to fraction form
    66,953/88,855 = 88,855/x
  3. Step 3: Cross multiply
    66,953x = 88,855 × 88,855
  4. Step 4: Simplify right side
    66,953x = 7,895,211,025
  5. Step 5: Solve for x
    x = 7,895,211,025/66,953
  6. Step 6: Final answer
    x = 117,921.69

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.