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Finding the Third Proportional to 84,522 and 127,110

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Solution

The third proportional to 84,522 and 127,110 is: 191,156.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,522 : 127,110 = 127,110 : x
  2. Step 2: Convert to fraction form
    84,522/127,110 = 127,110/x
  3. Step 3: Cross multiply
    84,522x = 127,110 × 127,110
  4. Step 4: Simplify right side
    84,522x = 16,156,952,100
  5. Step 5: Solve for x
    x = 16,156,952,100/84,522
  6. Step 6: Final answer
    x = 191,156.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.