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Finding the Third Proportional to 51,282 and 109,863

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Solution

The third proportional to 51,282 and 109,863 is: 235,362.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,282 : 109,863 = 109,863 : x
  2. Step 2: Convert to fraction form
    51,282/109,863 = 109,863/x
  3. Step 3: Cross multiply
    51,282x = 109,863 × 109,863
  4. Step 4: Simplify right side
    51,282x = 12,069,878,769
  5. Step 5: Solve for x
    x = 12,069,878,769/51,282
  6. Step 6: Final answer
    x = 235,362.87

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.