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Finding the Third Proportional to 90,317 and 128,833

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Solution

The third proportional to 90,317 and 128,833 is: 183,774.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,317 : 128,833 = 128,833 : x
  2. Step 2: Convert to fraction form
    90,317/128,833 = 128,833/x
  3. Step 3: Cross multiply
    90,317x = 128,833 × 128,833
  4. Step 4: Simplify right side
    90,317x = 16,597,941,889
  5. Step 5: Solve for x
    x = 16,597,941,889/90,317
  6. Step 6: Final answer
    x = 183,774.28

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.