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Finding the Third Proportional to 71,924 and 108,888

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Solution

The third proportional to 71,924 and 108,888 is: 164,848.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,924 : 108,888 = 108,888 : x
  2. Step 2: Convert to fraction form
    71,924/108,888 = 108,888/x
  3. Step 3: Cross multiply
    71,924x = 108,888 × 108,888
  4. Step 4: Simplify right side
    71,924x = 11,856,596,544
  5. Step 5: Solve for x
    x = 11,856,596,544/71,924
  6. Step 6: Final answer
    x = 164,848.96

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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.