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Finding the Third Proportional to 72,828 and 99,670

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Solution

The third proportional to 72,828 and 99,670 is: 136,405.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,828 : 99,670 = 99,670 : x
  2. Step 2: Convert to fraction form
    72,828/99,670 = 99,670/x
  3. Step 3: Cross multiply
    72,828x = 99,670 × 99,670
  4. Step 4: Simplify right side
    72,828x = 9,934,108,900
  5. Step 5: Solve for x
    x = 9,934,108,900/72,828
  6. Step 6: Final answer
    x = 136,405.08

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.