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Finding the Third Proportional to 71,964 and 108,952

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Solution

The third proportional to 71,964 and 108,952 is: 164,951.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,964 : 108,952 = 108,952 : x
  2. Step 2: Convert to fraction form
    71,964/108,952 = 108,952/x
  3. Step 3: Cross multiply
    71,964x = 108,952 × 108,952
  4. Step 4: Simplify right side
    71,964x = 11,870,538,304
  5. Step 5: Solve for x
    x = 11,870,538,304/71,964
  6. Step 6: Final answer
    x = 164,951.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.