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Finding the Third Proportional to 31,207 and 67,967

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Solution

The third proportional to 31,207 and 67,967 is: 148,028.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,207 : 67,967 = 67,967 : x
  2. Step 2: Convert to fraction form
    31,207/67,967 = 67,967/x
  3. Step 3: Cross multiply
    31,207x = 67,967 × 67,967
  4. Step 4: Simplify right side
    31,207x = 4,619,513,089
  5. Step 5: Solve for x
    x = 4,619,513,089/31,207
  6. Step 6: Final answer
    x = 148,028.11

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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.