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Finding the Third Proportional to 51,746 and 78,051

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Solution

The third proportional to 51,746 and 78,051 is: 117,728.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,746 : 78,051 = 78,051 : x
  2. Step 2: Convert to fraction form
    51,746/78,051 = 78,051/x
  3. Step 3: Cross multiply
    51,746x = 78,051 × 78,051
  4. Step 4: Simplify right side
    51,746x = 6,091,958,601
  5. Step 5: Solve for x
    x = 6,091,958,601/51,746
  6. Step 6: Final answer
    x = 117,728.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.