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Finding the Third Proportional to 74,857 and 119,048

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Solution

The third proportional to 74,857 and 119,048 is: 189,326.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,857 : 119,048 = 119,048 : x
  2. Step 2: Convert to fraction form
    74,857/119,048 = 119,048/x
  3. Step 3: Cross multiply
    74,857x = 119,048 × 119,048
  4. Step 4: Simplify right side
    74,857x = 14,172,426,304
  5. Step 5: Solve for x
    x = 14,172,426,304/74,857
  6. Step 6: Final answer
    x = 189,326.67

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.