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Finding the Third Proportional to 52,968 and 113,310

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Solution

The third proportional to 52,968 and 113,310 is: 242,394.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,968 : 113,310 = 113,310 : x
  2. Step 2: Convert to fraction form
    52,968/113,310 = 113,310/x
  3. Step 3: Cross multiply
    52,968x = 113,310 × 113,310
  4. Step 4: Simplify right side
    52,968x = 12,839,156,100
  5. Step 5: Solve for x
    x = 12,839,156,100/52,968
  6. Step 6: Final answer
    x = 242,394.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.