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Finding the Third Proportional to 86,037.19 and 132,890.63

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Solution

The third proportional to 86,037.19 and 132,890.63 is: 205,259.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,037.19 : 132,890.63 = 132,890.63 : x
  2. Step 2: Convert to fraction form
    86,037.19/132,890.63 = 132,890.63/x
  3. Step 3: Cross multiply
    86,037.19x = 132,890.63 × 132,890.63
  4. Step 4: Simplify right side
    86,037.19x = 17,659,918,212.89
  5. Step 5: Solve for x
    x = 17,659,918,212.89/86,037.19
  6. Step 6: Final answer
    x = 205,259.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.