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Finding the Third Proportional to 52,916 and 85,078

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Solution

The third proportional to 52,916 and 85,078 is: 136,787.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,916 : 85,078 = 85,078 : x
  2. Step 2: Convert to fraction form
    52,916/85,078 = 85,078/x
  3. Step 3: Cross multiply
    52,916x = 85,078 × 85,078
  4. Step 4: Simplify right side
    52,916x = 7,238,266,084
  5. Step 5: Solve for x
    x = 7,238,266,084/52,916
  6. Step 6: Final answer
    x = 136,787.85

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.