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Finding the Third Proportional to 90,230 and 127,140

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Solution

The third proportional to 90,230 and 127,140 is: 179,148.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,230 : 127,140 = 127,140 : x
  2. Step 2: Convert to fraction form
    90,230/127,140 = 127,140/x
  3. Step 3: Cross multiply
    90,230x = 127,140 × 127,140
  4. Step 4: Simplify right side
    90,230x = 16,164,579,600
  5. Step 5: Solve for x
    x = 16,164,579,600/90,230
  6. Step 6: Final answer
    x = 179,148.62

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.