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Finding the Third Proportional to 72,606.38 and 156,335.06

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Solution

The third proportional to 72,606.38 and 156,335.06 is: 336,618.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,606.38 : 156,335.06 = 156,335.06 : x
  2. Step 2: Convert to fraction form
    72,606.38/156,335.06 = 156,335.06/x
  3. Step 3: Cross multiply
    72,606.38x = 156,335.06 × 156,335.06
  4. Step 4: Simplify right side
    72,606.38x = 24,440,651,766.88
  5. Step 5: Solve for x
    x = 24,440,651,766.88/72,606.38
  6. Step 6: Final answer
    x = 336,618.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.