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Finding the Third Proportional to 31,239 and 68,023.13

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Solution

The third proportional to 31,239 and 68,023.13 is: 148,120.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,239 : 68,023.13 = 68,023.13 : x
  2. Step 2: Convert to fraction form
    31,239/68,023.13 = 68,023.13/x
  3. Step 3: Cross multiply
    31,239x = 68,023.13 × 68,023.13
  4. Step 4: Simplify right side
    31,239x = 4,627,145,534.77
  5. Step 5: Solve for x
    x = 4,627,145,534.77/31,239
  6. Step 6: Final answer
    x = 148,120.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.