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Finding the Third Proportional to 48,537 and 103,823

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Solution

The third proportional to 48,537 and 103,823 is: 222,082.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,537 : 103,823 = 103,823 : x
  2. Step 2: Convert to fraction form
    48,537/103,823 = 103,823/x
  3. Step 3: Cross multiply
    48,537x = 103,823 × 103,823
  4. Step 4: Simplify right side
    48,537x = 10,779,215,329
  5. Step 5: Solve for x
    x = 10,779,215,329/48,537
  6. Step 6: Final answer
    x = 222,082.44

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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.