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Finding the Third Proportional to 49,184 and 75,952

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Solution

The third proportional to 49,184 and 75,952 is: 117,288.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,184 : 75,952 = 75,952 : x
  2. Step 2: Convert to fraction form
    49,184/75,952 = 75,952/x
  3. Step 3: Cross multiply
    49,184x = 75,952 × 75,952
  4. Step 4: Simplify right side
    49,184x = 5,768,706,304
  5. Step 5: Solve for x
    x = 5,768,706,304/49,184
  6. Step 6: Final answer
    x = 117,288.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.