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Finding the Third Proportional to 64,615 and 137,047

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Solution

The third proportional to 64,615 and 137,047 is: 290,673.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,615 : 137,047 = 137,047 : x
  2. Step 2: Convert to fraction form
    64,615/137,047 = 137,047/x
  3. Step 3: Cross multiply
    64,615x = 137,047 × 137,047
  4. Step 4: Simplify right side
    64,615x = 18,781,880,209
  5. Step 5: Solve for x
    x = 18,781,880,209/64,615
  6. Step 6: Final answer
    x = 290,673.69

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.