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Finding the Third Proportional to 48,702 and 101,148

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Solution

The third proportional to 48,702 and 101,148 is: 210,071.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,702 : 101,148 = 101,148 : x
  2. Step 2: Convert to fraction form
    48,702/101,148 = 101,148/x
  3. Step 3: Cross multiply
    48,702x = 101,148 × 101,148
  4. Step 4: Simplify right side
    48,702x = 10,230,917,904
  5. Step 5: Solve for x
    x = 10,230,917,904/48,702
  6. Step 6: Final answer
    x = 210,071.82

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.