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Finding the Third Proportional to 48,185 and 74,156

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Solution

The third proportional to 48,185 and 74,156 is: 114,124.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,185 : 74,156 = 74,156 : x
  2. Step 2: Convert to fraction form
    48,185/74,156 = 74,156/x
  3. Step 3: Cross multiply
    48,185x = 74,156 × 74,156
  4. Step 4: Simplify right side
    48,185x = 5,499,112,336
  5. Step 5: Solve for x
    x = 5,499,112,336/48,185
  6. Step 6: Final answer
    x = 114,124.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.