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Finding the Third Proportional to 64,842 and 119,028

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Solution

The third proportional to 64,842 and 119,028 is: 218,495.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,842 : 119,028 = 119,028 : x
  2. Step 2: Convert to fraction form
    64,842/119,028 = 119,028/x
  3. Step 3: Cross multiply
    64,842x = 119,028 × 119,028
  4. Step 4: Simplify right side
    64,842x = 14,167,664,784
  5. Step 5: Solve for x
    x = 14,167,664,784/64,842
  6. Step 6: Final answer
    x = 218,495.18

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Why These Related Problems?

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