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Finding the Third Proportional to 29,612 and 64,138

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Solution

The third proportional to 29,612 and 64,138 is: 138,919.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,612 : 64,138 = 64,138 : x
  2. Step 2: Convert to fraction form
    29,612/64,138 = 64,138/x
  3. Step 3: Cross multiply
    29,612x = 64,138 × 64,138
  4. Step 4: Simplify right side
    29,612x = 4,113,683,044
  5. Step 5: Solve for x
    x = 4,113,683,044/29,612
  6. Step 6: Final answer
    x = 138,919.46

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Why These Related Problems?

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