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Finding the Third Proportional to 87,905 and 136,313

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Solution

The third proportional to 87,905 and 136,313 is: 211,378.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,905 : 136,313 = 136,313 : x
  2. Step 2: Convert to fraction form
    87,905/136,313 = 136,313/x
  3. Step 3: Cross multiply
    87,905x = 136,313 × 136,313
  4. Step 4: Simplify right side
    87,905x = 18,581,233,969
  5. Step 5: Solve for x
    x = 18,581,233,969/87,905
  6. Step 6: Final answer
    x = 211,378.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.