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Finding the Third Proportional to 72,029 and 156,827

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Solution

The third proportional to 72,029 and 156,827 is: 341,455.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,029 : 156,827 = 156,827 : x
  2. Step 2: Convert to fraction form
    72,029/156,827 = 156,827/x
  3. Step 3: Cross multiply
    72,029x = 156,827 × 156,827
  4. Step 4: Simplify right side
    72,029x = 24,594,707,929
  5. Step 5: Solve for x
    x = 24,594,707,929/72,029
  6. Step 6: Final answer
    x = 341,455.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.