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Finding the Third Proportional to 72,700 and 156,524

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Solution

The third proportional to 72,700 and 156,524 is: 336,998.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,700 : 156,524 = 156,524 : x
  2. Step 2: Convert to fraction form
    72,700/156,524 = 156,524/x
  3. Step 3: Cross multiply
    72,700x = 156,524 × 156,524
  4. Step 4: Simplify right side
    72,700x = 24,499,762,576
  5. Step 5: Solve for x
    x = 24,499,762,576/72,700
  6. Step 6: Final answer
    x = 336,998.11

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