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Finding the Third Proportional to 51,934 and 77,813

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Solution

The third proportional to 51,934 and 77,813 is: 116,587.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,934 : 77,813 = 77,813 : x
  2. Step 2: Convert to fraction form
    51,934/77,813 = 77,813/x
  3. Step 3: Cross multiply
    51,934x = 77,813 × 77,813
  4. Step 4: Simplify right side
    51,934x = 6,054,862,969
  5. Step 5: Solve for x
    x = 6,054,862,969/51,934
  6. Step 6: Final answer
    x = 116,587.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.