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Finding the Third Proportional to 86,735.81 and 134,043.19

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Solution

The third proportional to 86,735.81 and 134,043.19 is: 207,152.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,735.81 : 134,043.19 = 134,043.19 : x
  2. Step 2: Convert to fraction form
    86,735.81/134,043.19 = 134,043.19/x
  3. Step 3: Cross multiply
    86,735.81x = 134,043.19 × 134,043.19
  4. Step 4: Simplify right side
    86,735.81x = 17,967,576,115.16
  5. Step 5: Solve for x
    x = 17,967,576,115.16/86,735.81
  6. Step 6: Final answer
    x = 207,152.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.