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Finding the Third Proportional to 65,599.50 and 142,071

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Solution

The third proportional to 65,599.50 and 142,071 is: 307,687.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,599.50 : 142,071 = 142,071 : x
  2. Step 2: Convert to fraction form
    65,599.50/142,071 = 142,071/x
  3. Step 3: Cross multiply
    65,599.50x = 142,071 × 142,071
  4. Step 4: Simplify right side
    65,599.50x = 20,184,169,041
  5. Step 5: Solve for x
    x = 20,184,169,041/65,599.50
  6. Step 6: Final answer
    x = 307,687.85

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.