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Finding the Third Proportional to 72,195 and 116,313

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Solution

The third proportional to 72,195 and 116,313 is: 187,391.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,195 : 116,313 = 116,313 : x
  2. Step 2: Convert to fraction form
    72,195/116,313 = 116,313/x
  3. Step 3: Cross multiply
    72,195x = 116,313 × 116,313
  4. Step 4: Simplify right side
    72,195x = 13,528,713,969
  5. Step 5: Solve for x
    x = 13,528,713,969/72,195
  6. Step 6: Final answer
    x = 187,391.29

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.