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Finding the Third Proportional to 52,924 and 72,906

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Solution

The third proportional to 52,924 and 72,906 is: 100,432.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,924 : 72,906 = 72,906 : x
  2. Step 2: Convert to fraction form
    52,924/72,906 = 72,906/x
  3. Step 3: Cross multiply
    52,924x = 72,906 × 72,906
  4. Step 4: Simplify right side
    52,924x = 5,315,284,836
  5. Step 5: Solve for x
    x = 5,315,284,836/52,924
  6. Step 6: Final answer
    x = 100,432.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.