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Finding the Third Proportional to 66,139 and 94,246

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Solution

The third proportional to 66,139 and 94,246 is: 134,297.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,139 : 94,246 = 94,246 : x
  2. Step 2: Convert to fraction form
    66,139/94,246 = 94,246/x
  3. Step 3: Cross multiply
    66,139x = 94,246 × 94,246
  4. Step 4: Simplify right side
    66,139x = 8,882,308,516
  5. Step 5: Solve for x
    x = 8,882,308,516/66,139
  6. Step 6: Final answer
    x = 134,297.59

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.