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Finding the Third Proportional to 48,070 and 104,248

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Solution

The third proportional to 48,070 and 104,248 is: 226,079.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,070 : 104,248 = 104,248 : x
  2. Step 2: Convert to fraction form
    48,070/104,248 = 104,248/x
  3. Step 3: Cross multiply
    48,070x = 104,248 × 104,248
  4. Step 4: Simplify right side
    48,070x = 10,867,645,504
  5. Step 5: Solve for x
    x = 10,867,645,504/48,070
  6. Step 6: Final answer
    x = 226,079.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.