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Finding the Third Proportional to 52,182 and 112,701

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Solution

The third proportional to 52,182 and 112,701 is: 243,407.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,182 : 112,701 = 112,701 : x
  2. Step 2: Convert to fraction form
    52,182/112,701 = 112,701/x
  3. Step 3: Cross multiply
    52,182x = 112,701 × 112,701
  4. Step 4: Simplify right side
    52,182x = 12,701,515,401
  5. Step 5: Solve for x
    x = 12,701,515,401/52,182
  6. Step 6: Final answer
    x = 243,407.98

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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.