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Finding the Third Proportional to 66,615 and 141,858

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Solution

The third proportional to 66,615 and 141,858 is: 302,089.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,615 : 141,858 = 141,858 : x
  2. Step 2: Convert to fraction form
    66,615/141,858 = 141,858/x
  3. Step 3: Cross multiply
    66,615x = 141,858 × 141,858
  4. Step 4: Simplify right side
    66,615x = 20,123,692,164
  5. Step 5: Solve for x
    x = 20,123,692,164/66,615
  6. Step 6: Final answer
    x = 302,089.50

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.