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Finding the Third Proportional to 52,008 and 112,192

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Solution

The third proportional to 52,008 and 112,192 is: 242,021.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,008 : 112,192 = 112,192 : x
  2. Step 2: Convert to fraction form
    52,008/112,192 = 112,192/x
  3. Step 3: Cross multiply
    52,008x = 112,192 × 112,192
  4. Step 4: Simplify right side
    52,008x = 12,587,044,864
  5. Step 5: Solve for x
    x = 12,587,044,864/52,008
  6. Step 6: Final answer
    x = 242,021.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.