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Finding the Third Proportional to 66,166 and 94,329

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Solution

The third proportional to 66,166 and 94,329 is: 134,479.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,166 : 94,329 = 94,329 : x
  2. Step 2: Convert to fraction form
    66,166/94,329 = 94,329/x
  3. Step 3: Cross multiply
    66,166x = 94,329 × 94,329
  4. Step 4: Simplify right side
    66,166x = 8,897,960,241
  5. Step 5: Solve for x
    x = 8,897,960,241/66,166
  6. Step 6: Final answer
    x = 134,479.34

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.