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Finding the Third Proportional to 72,633 and 156,733

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Solution

The third proportional to 72,633 and 156,733 is: 338,210.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,633 : 156,733 = 156,733 : x
  2. Step 2: Convert to fraction form
    72,633/156,733 = 156,733/x
  3. Step 3: Cross multiply
    72,633x = 156,733 × 156,733
  4. Step 4: Simplify right side
    72,633x = 24,565,233,289
  5. Step 5: Solve for x
    x = 24,565,233,289/72,633
  6. Step 6: Final answer
    x = 338,210.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.