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Finding the Third Proportional to 85,518 and 134,150.50

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Solution

The third proportional to 85,518 and 134,150.50 is: 210,439.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,518 : 134,150.50 = 134,150.50 : x
  2. Step 2: Convert to fraction form
    85,518/134,150.50 = 134,150.50/x
  3. Step 3: Cross multiply
    85,518x = 134,150.50 × 134,150.50
  4. Step 4: Simplify right side
    85,518x = 17,996,356,650.25
  5. Step 5: Solve for x
    x = 17,996,356,650.25/85,518
  6. Step 6: Final answer
    x = 210,439.40

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.