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Finding the Third Proportional to 48,051 and 103,206

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Solution

The third proportional to 48,051 and 103,206 is: 221,670.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,051 : 103,206 = 103,206 : x
  2. Step 2: Convert to fraction form
    48,051/103,206 = 103,206/x
  3. Step 3: Cross multiply
    48,051x = 103,206 × 103,206
  4. Step 4: Simplify right side
    48,051x = 10,651,478,436
  5. Step 5: Solve for x
    x = 10,651,478,436/48,051
  6. Step 6: Final answer
    x = 221,670.28

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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.