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Finding the Third Proportional to 85,619.63 and 136,357

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Solution

The third proportional to 85,619.63 and 136,357 is: 217,160.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,619.63 : 136,357 = 136,357 : x
  2. Step 2: Convert to fraction form
    85,619.63/136,357 = 136,357/x
  3. Step 3: Cross multiply
    85,619.63x = 136,357 × 136,357
  4. Step 4: Simplify right side
    85,619.63x = 18,593,231,449
  5. Step 5: Solve for x
    x = 18,593,231,449/85,619.63
  6. Step 6: Final answer
    x = 217,160.86

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.