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Finding the Third Proportional to 64,076 and 137,622

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Solution

The third proportional to 64,076 and 137,622 is: 295,583.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,076 : 137,622 = 137,622 : x
  2. Step 2: Convert to fraction form
    64,076/137,622 = 137,622/x
  3. Step 3: Cross multiply
    64,076x = 137,622 × 137,622
  4. Step 4: Simplify right side
    64,076x = 18,939,814,884
  5. Step 5: Solve for x
    x = 18,939,814,884/64,076
  6. Step 6: Final answer
    x = 295,583.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.