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Finding the Third Proportional to 86,581 and 138,313

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Solution

The third proportional to 86,581 and 138,313 is: 220,954.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,581 : 138,313 = 138,313 : x
  2. Step 2: Convert to fraction form
    86,581/138,313 = 138,313/x
  3. Step 3: Cross multiply
    86,581x = 138,313 × 138,313
  4. Step 4: Simplify right side
    86,581x = 19,130,485,969
  5. Step 5: Solve for x
    x = 19,130,485,969/86,581
  6. Step 6: Final answer
    x = 220,954.78

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.