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Finding the Third Proportional to 90,640 and 127,414.50

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Solution

The third proportional to 90,640 and 127,414.50 is: 179,109.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,640 : 127,414.50 = 127,414.50 : x
  2. Step 2: Convert to fraction form
    90,640/127,414.50 = 127,414.50/x
  3. Step 3: Cross multiply
    90,640x = 127,414.50 × 127,414.50
  4. Step 4: Simplify right side
    90,640x = 16,234,454,810.25
  5. Step 5: Solve for x
    x = 16,234,454,810.25/90,640
  6. Step 6: Final answer
    x = 179,109.17

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