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Finding the Third Proportional to 81,054 and 130,232

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Solution

The third proportional to 81,054 and 130,232 is: 209,247.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,054 : 130,232 = 130,232 : x
  2. Step 2: Convert to fraction form
    81,054/130,232 = 130,232/x
  3. Step 3: Cross multiply
    81,054x = 130,232 × 130,232
  4. Step 4: Simplify right side
    81,054x = 16,960,373,824
  5. Step 5: Solve for x
    x = 16,960,373,824/81,054
  6. Step 6: Final answer
    x = 209,247.83

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.