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Finding the Third Proportional to 51,008 and 109,432

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Solution

The third proportional to 51,008 and 109,432 is: 234,774.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,008 : 109,432 = 109,432 : x
  2. Step 2: Convert to fraction form
    51,008/109,432 = 109,432/x
  3. Step 3: Cross multiply
    51,008x = 109,432 × 109,432
  4. Step 4: Simplify right side
    51,008x = 11,975,362,624
  5. Step 5: Solve for x
    x = 11,975,362,624/51,008
  6. Step 6: Final answer
    x = 234,774.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.