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Finding the Third Proportional to 86,838.14 and 135,509.24

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Solution

The third proportional to 86,838.14 and 135,509.24 is: 211,459.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,838.14 : 135,509.24 = 135,509.24 : x
  2. Step 2: Convert to fraction form
    86,838.14/135,509.24 = 135,509.24/x
  3. Step 3: Cross multiply
    86,838.14x = 135,509.24 × 135,509.24
  4. Step 4: Simplify right side
    86,838.14x = 18,362,753,510.69
  5. Step 5: Solve for x
    x = 18,362,753,510.69/86,838.14
  6. Step 6: Final answer
    x = 211,459.54

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.