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Finding the Third Proportional to 48,953 and 102,127

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Solution

The third proportional to 48,953 and 102,127 is: 213,059.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,953 : 102,127 = 102,127 : x
  2. Step 2: Convert to fraction form
    48,953/102,127 = 102,127/x
  3. Step 3: Cross multiply
    48,953x = 102,127 × 102,127
  4. Step 4: Simplify right side
    48,953x = 10,429,924,129
  5. Step 5: Solve for x
    x = 10,429,924,129/48,953
  6. Step 6: Final answer
    x = 213,059.96

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.