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Finding the Third Proportional to 58,682 and 83,613

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Solution

The third proportional to 58,682 and 83,613 is: 119,135.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,682 : 83,613 = 83,613 : x
  2. Step 2: Convert to fraction form
    58,682/83,613 = 83,613/x
  3. Step 3: Cross multiply
    58,682x = 83,613 × 83,613
  4. Step 4: Simplify right side
    58,682x = 6,991,133,769
  5. Step 5: Solve for x
    x = 6,991,133,769/58,682
  6. Step 6: Final answer
    x = 119,135.92

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.