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Finding the Third Proportional to 53,559 and 109,575

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Solution

The third proportional to 53,559 and 109,575 is: 224,176.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,559 : 109,575 = 109,575 : x
  2. Step 2: Convert to fraction form
    53,559/109,575 = 109,575/x
  3. Step 3: Cross multiply
    53,559x = 109,575 × 109,575
  4. Step 4: Simplify right side
    53,559x = 12,006,680,625
  5. Step 5: Solve for x
    x = 12,006,680,625/53,559
  6. Step 6: Final answer
    x = 224,176.71

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.