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Finding the Third Proportional to 64,782 and 86,094

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Solution

The third proportional to 64,782 and 86,094 is: 114,417.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,782 : 86,094 = 86,094 : x
  2. Step 2: Convert to fraction form
    64,782/86,094 = 86,094/x
  3. Step 3: Cross multiply
    64,782x = 86,094 × 86,094
  4. Step 4: Simplify right side
    64,782x = 7,412,176,836
  5. Step 5: Solve for x
    x = 7,412,176,836/64,782
  6. Step 6: Final answer
    x = 114,417.23

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.