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Finding the Third Proportional to 72,300 and 156,670

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Solution

The third proportional to 72,300 and 156,670 is: 339,495.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,300 : 156,670 = 156,670 : x
  2. Step 2: Convert to fraction form
    72,300/156,670 = 156,670/x
  3. Step 3: Cross multiply
    72,300x = 156,670 × 156,670
  4. Step 4: Simplify right side
    72,300x = 24,545,488,900
  5. Step 5: Solve for x
    x = 24,545,488,900/72,300
  6. Step 6: Final answer
    x = 339,495.01

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.