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Finding the Third Proportional to 48,050 and 103,207

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Solution

The third proportional to 48,050 and 103,207 is: 221,679.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,050 : 103,207 = 103,207 : x
  2. Step 2: Convert to fraction form
    48,050/103,207 = 103,207/x
  3. Step 3: Cross multiply
    48,050x = 103,207 × 103,207
  4. Step 4: Simplify right side
    48,050x = 10,651,684,849
  5. Step 5: Solve for x
    x = 10,651,684,849/48,050
  6. Step 6: Final answer
    x = 221,679.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.