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Finding the Third Proportional to 48,634 and 74,123

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Solution

The third proportional to 48,634 and 74,123 is: 112,970.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,634 : 74,123 = 74,123 : x
  2. Step 2: Convert to fraction form
    48,634/74,123 = 74,123/x
  3. Step 3: Cross multiply
    48,634x = 74,123 × 74,123
  4. Step 4: Simplify right side
    48,634x = 5,494,219,129
  5. Step 5: Solve for x
    x = 5,494,219,129/48,634
  6. Step 6: Final answer
    x = 112,970.74

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.