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Finding the Third Proportional to 73,421 and 116,695

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Solution

The third proportional to 73,421 and 116,695 is: 185,474.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,421 : 116,695 = 116,695 : x
  2. Step 2: Convert to fraction form
    73,421/116,695 = 116,695/x
  3. Step 3: Cross multiply
    73,421x = 116,695 × 116,695
  4. Step 4: Simplify right side
    73,421x = 13,617,723,025
  5. Step 5: Solve for x
    x = 13,617,723,025/73,421
  6. Step 6: Final answer
    x = 185,474.50

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.