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Finding the Third Proportional to 31,612 and 64,133

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Solution

The third proportional to 31,612 and 64,133 is: 130,110.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,612 : 64,133 = 64,133 : x
  2. Step 2: Convert to fraction form
    31,612/64,133 = 64,133/x
  3. Step 3: Cross multiply
    31,612x = 64,133 × 64,133
  4. Step 4: Simplify right side
    31,612x = 4,113,041,689
  5. Step 5: Solve for x
    x = 4,113,041,689/31,612
  6. Step 6: Final answer
    x = 130,110.14

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.