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Finding the Third Proportional to 67,971 and 99,729

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Solution

The third proportional to 67,971 and 99,729 is: 146,325.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,971 : 99,729 = 99,729 : x
  2. Step 2: Convert to fraction form
    67,971/99,729 = 99,729/x
  3. Step 3: Cross multiply
    67,971x = 99,729 × 99,729
  4. Step 4: Simplify right side
    67,971x = 9,945,873,441
  5. Step 5: Solve for x
    x = 9,945,873,441/67,971
  6. Step 6: Final answer
    x = 146,325.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.