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Finding the Third Proportional to 92,436 and 142,575

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Solution

The third proportional to 92,436 and 142,575 is: 219,910.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,436 : 142,575 = 142,575 : x
  2. Step 2: Convert to fraction form
    92,436/142,575 = 142,575/x
  3. Step 3: Cross multiply
    92,436x = 142,575 × 142,575
  4. Step 4: Simplify right side
    92,436x = 20,327,630,625
  5. Step 5: Solve for x
    x = 20,327,630,625/92,436
  6. Step 6: Final answer
    x = 219,910.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.