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Finding the Third Proportional to 58,695 and 114,450

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Solution

The third proportional to 58,695 and 114,450 is: 223,167.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,695 : 114,450 = 114,450 : x
  2. Step 2: Convert to fraction form
    58,695/114,450 = 114,450/x
  3. Step 3: Cross multiply
    58,695x = 114,450 × 114,450
  4. Step 4: Simplify right side
    58,695x = 13,098,802,500
  5. Step 5: Solve for x
    x = 13,098,802,500/58,695
  6. Step 6: Final answer
    x = 223,167.26

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.