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Finding the Third Proportional to 52,860 and 110,909

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Solution

The third proportional to 52,860 and 110,909 is: 232,705.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,860 : 110,909 = 110,909 : x
  2. Step 2: Convert to fraction form
    52,860/110,909 = 110,909/x
  3. Step 3: Cross multiply
    52,860x = 110,909 × 110,909
  4. Step 4: Simplify right side
    52,860x = 12,300,806,281
  5. Step 5: Solve for x
    x = 12,300,806,281/52,860
  6. Step 6: Final answer
    x = 232,705.38

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.