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Finding the Third Proportional to 77,679 and 134,851.50

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Solution

The third proportional to 77,679 and 134,851.50 is: 234,103.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,679 : 134,851.50 = 134,851.50 : x
  2. Step 2: Convert to fraction form
    77,679/134,851.50 = 134,851.50/x
  3. Step 3: Cross multiply
    77,679x = 134,851.50 × 134,851.50
  4. Step 4: Simplify right side
    77,679x = 18,184,927,052.25
  5. Step 5: Solve for x
    x = 18,184,927,052.25/77,679
  6. Step 6: Final answer
    x = 234,103.52

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These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.