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Finding the Third Proportional to 52,170 and 112,494

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Solution

The third proportional to 52,170 and 112,494 is: 242,570.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,170 : 112,494 = 112,494 : x
  2. Step 2: Convert to fraction form
    52,170/112,494 = 112,494/x
  3. Step 3: Cross multiply
    52,170x = 112,494 × 112,494
  4. Step 4: Simplify right side
    52,170x = 12,654,900,036
  5. Step 5: Solve for x
    x = 12,654,900,036/52,170
  6. Step 6: Final answer
    x = 242,570.44

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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.