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Finding the Third Proportional to 31,810 and 69,101

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Solution

The third proportional to 31,810 and 69,101 is: 150,108.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,810 : 69,101 = 69,101 : x
  2. Step 2: Convert to fraction form
    31,810/69,101 = 69,101/x
  3. Step 3: Cross multiply
    31,810x = 69,101 × 69,101
  4. Step 4: Simplify right side
    31,810x = 4,774,948,201
  5. Step 5: Solve for x
    x = 4,774,948,201/31,810
  6. Step 6: Final answer
    x = 150,108.40

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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.