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Finding the Third Proportional to 63,913 and 96,761

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Solution

The third proportional to 63,913 and 96,761 is: 146,491.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,913 : 96,761 = 96,761 : x
  2. Step 2: Convert to fraction form
    63,913/96,761 = 96,761/x
  3. Step 3: Cross multiply
    63,913x = 96,761 × 96,761
  4. Step 4: Simplify right side
    63,913x = 9,362,691,121
  5. Step 5: Solve for x
    x = 9,362,691,121/63,913
  6. Step 6: Final answer
    x = 146,491.19

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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.