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Finding the Third Proportional to 48,186 and 74,157

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Solution

The third proportional to 48,186 and 74,157 is: 114,125.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,186 : 74,157 = 74,157 : x
  2. Step 2: Convert to fraction form
    48,186/74,157 = 74,157/x
  3. Step 3: Cross multiply
    48,186x = 74,157 × 74,157
  4. Step 4: Simplify right side
    48,186x = 5,499,260,649
  5. Step 5: Solve for x
    x = 5,499,260,649/48,186
  6. Step 6: Final answer
    x = 114,125.69

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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.