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Finding the Third Proportional to 61,807 and 133,064

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Solution

The third proportional to 61,807 and 133,064 is: 286,472.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,807 : 133,064 = 133,064 : x
  2. Step 2: Convert to fraction form
    61,807/133,064 = 133,064/x
  3. Step 3: Cross multiply
    61,807x = 133,064 × 133,064
  4. Step 4: Simplify right side
    61,807x = 17,706,028,096
  5. Step 5: Solve for x
    x = 17,706,028,096/61,807
  6. Step 6: Final answer
    x = 286,472.86

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.