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Finding the Third Proportional to 72,633.19 and 156,937.13

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Solution

The third proportional to 72,633.19 and 156,937.13 is: 339,091.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,633.19 : 156,937.13 = 156,937.13 : x
  2. Step 2: Convert to fraction form
    72,633.19/156,937.13 = 156,937.13/x
  3. Step 3: Cross multiply
    72,633.19x = 156,937.13 × 156,937.13
  4. Step 4: Simplify right side
    72,633.19x = 24,629,261,203.27
  5. Step 5: Solve for x
    x = 24,629,261,203.27/72,633.19
  6. Step 6: Final answer
    x = 339,091.01

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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.