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Finding the Third Proportional to 66,836 and 94,037

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Solution

The third proportional to 66,836 and 94,037 is: 132,308.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,836 : 94,037 = 94,037 : x
  2. Step 2: Convert to fraction form
    66,836/94,037 = 94,037/x
  3. Step 3: Cross multiply
    66,836x = 94,037 × 94,037
  4. Step 4: Simplify right side
    66,836x = 8,842,957,369
  5. Step 5: Solve for x
    x = 8,842,957,369/66,836
  6. Step 6: Final answer
    x = 132,308.30

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.