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Finding the Third Proportional to 52,304 and 78,945

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Solution

The third proportional to 52,304 and 78,945 is: 119,155.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,304 : 78,945 = 78,945 : x
  2. Step 2: Convert to fraction form
    52,304/78,945 = 78,945/x
  3. Step 3: Cross multiply
    52,304x = 78,945 × 78,945
  4. Step 4: Simplify right side
    52,304x = 6,232,313,025
  5. Step 5: Solve for x
    x = 6,232,313,025/52,304
  6. Step 6: Final answer
    x = 119,155.57

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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.