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Finding the Third Proportional to 86,460.33 and 132,313.92

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Solution

The third proportional to 86,460.33 and 132,313.92 is: 202,485.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,460.33 : 132,313.92 = 132,313.92 : x
  2. Step 2: Convert to fraction form
    86,460.33/132,313.92 = 132,313.92/x
  3. Step 3: Cross multiply
    86,460.33x = 132,313.92 × 132,313.92
  4. Step 4: Simplify right side
    86,460.33x = 17,506,973,921.94
  5. Step 5: Solve for x
    x = 17,506,973,921.94/86,460.33
  6. Step 6: Final answer
    x = 202,485.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.