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Finding the Third Proportional to 62,320 and 83,976

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Solution

The third proportional to 62,320 and 83,976 is: 113,157.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,320 : 83,976 = 83,976 : x
  2. Step 2: Convert to fraction form
    62,320/83,976 = 83,976/x
  3. Step 3: Cross multiply
    62,320x = 83,976 × 83,976
  4. Step 4: Simplify right side
    62,320x = 7,051,968,576
  5. Step 5: Solve for x
    x = 7,051,968,576/62,320
  6. Step 6: Final answer
    x = 113,157.39

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.