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Finding the Third Proportional to 52,692 and 77,064

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Solution

The third proportional to 52,692 and 77,064 is: 112,708.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,692 : 77,064 = 77,064 : x
  2. Step 2: Convert to fraction form
    52,692/77,064 = 77,064/x
  3. Step 3: Cross multiply
    52,692x = 77,064 × 77,064
  4. Step 4: Simplify right side
    52,692x = 5,938,860,096
  5. Step 5: Solve for x
    x = 5,938,860,096/52,692
  6. Step 6: Final answer
    x = 112,708.95

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.