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Finding the Third Proportional to 72,770 and 151,684

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Solution

The third proportional to 72,770 and 151,684 is: 316,174.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,770 : 151,684 = 151,684 : x
  2. Step 2: Convert to fraction form
    72,770/151,684 = 151,684/x
  3. Step 3: Cross multiply
    72,770x = 151,684 × 151,684
  4. Step 4: Simplify right side
    72,770x = 23,008,035,856
  5. Step 5: Solve for x
    x = 23,008,035,856/72,770
  6. Step 6: Final answer
    x = 316,174.74

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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.