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Finding the Third Proportional to 64,853 and 119,050

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Solution

The third proportional to 64,853 and 119,050 is: 218,538.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,853 : 119,050 = 119,050 : x
  2. Step 2: Convert to fraction form
    64,853/119,050 = 119,050/x
  3. Step 3: Cross multiply
    64,853x = 119,050 × 119,050
  4. Step 4: Simplify right side
    64,853x = 14,172,902,500
  5. Step 5: Solve for x
    x = 14,172,902,500/64,853
  6. Step 6: Final answer
    x = 218,538.89

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These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.