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Finding the Third Proportional to 85,127 and 134,729.50

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Solution

The third proportional to 85,127 and 134,729.50 is: 213,234.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,127 : 134,729.50 = 134,729.50 : x
  2. Step 2: Convert to fraction form
    85,127/134,729.50 = 134,729.50/x
  3. Step 3: Cross multiply
    85,127x = 134,729.50 × 134,729.50
  4. Step 4: Simplify right side
    85,127x = 18,152,038,170.25
  5. Step 5: Solve for x
    x = 18,152,038,170.25/85,127
  6. Step 6: Final answer
    x = 213,234.79

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.