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Finding the Third Proportional to 73,163 and 152,158

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Solution

The third proportional to 73,163 and 152,158 is: 316,444.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,163 : 152,158 = 152,158 : x
  2. Step 2: Convert to fraction form
    73,163/152,158 = 152,158/x
  3. Step 3: Cross multiply
    73,163x = 152,158 × 152,158
  4. Step 4: Simplify right side
    73,163x = 23,152,056,964
  5. Step 5: Solve for x
    x = 23,152,056,964/73,163
  6. Step 6: Final answer
    x = 316,444.88

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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.