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Finding the Third Proportional to 52,897 and 110,168

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Solution

The third proportional to 52,897 and 110,168 is: 229,445.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,897 : 110,168 = 110,168 : x
  2. Step 2: Convert to fraction form
    52,897/110,168 = 110,168/x
  3. Step 3: Cross multiply
    52,897x = 110,168 × 110,168
  4. Step 4: Simplify right side
    52,897x = 12,136,988,224
  5. Step 5: Solve for x
    x = 12,136,988,224/52,897
  6. Step 6: Final answer
    x = 229,445.68

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.