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Finding the Third Proportional to 86,440.50 and 127,671

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Solution

The third proportional to 86,440.50 and 127,671 is: 188,567.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,440.50 : 127,671 = 127,671 : x
  2. Step 2: Convert to fraction form
    86,440.50/127,671 = 127,671/x
  3. Step 3: Cross multiply
    86,440.50x = 127,671 × 127,671
  4. Step 4: Simplify right side
    86,440.50x = 16,299,884,241
  5. Step 5: Solve for x
    x = 16,299,884,241/86,440.50
  6. Step 6: Final answer
    x = 188,567.68

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.