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Finding the Third Proportional to 75,504 and 119,952

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Solution

The third proportional to 75,504 and 119,952 is: 190,565.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,504 : 119,952 = 119,952 : x
  2. Step 2: Convert to fraction form
    75,504/119,952 = 119,952/x
  3. Step 3: Cross multiply
    75,504x = 119,952 × 119,952
  4. Step 4: Simplify right side
    75,504x = 14,388,482,304
  5. Step 5: Solve for x
    x = 14,388,482,304/75,504
  6. Step 6: Final answer
    x = 190,565.83

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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.