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Finding the Third Proportional to 86,392 and 141,071

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Solution

The third proportional to 86,392 and 141,071 is: 230,357.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,392 : 141,071 = 141,071 : x
  2. Step 2: Convert to fraction form
    86,392/141,071 = 141,071/x
  3. Step 3: Cross multiply
    86,392x = 141,071 × 141,071
  4. Step 4: Simplify right side
    86,392x = 19,901,027,041
  5. Step 5: Solve for x
    x = 19,901,027,041/86,392
  6. Step 6: Final answer
    x = 230,357.29

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.