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Finding the Third Proportional to 42,556 and 92,575

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Solution

The third proportional to 42,556 and 92,575 is: 201,384.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,556 : 92,575 = 92,575 : x
  2. Step 2: Convert to fraction form
    42,556/92,575 = 92,575/x
  3. Step 3: Cross multiply
    42,556x = 92,575 × 92,575
  4. Step 4: Simplify right side
    42,556x = 8,570,130,625
  5. Step 5: Solve for x
    x = 8,570,130,625/42,556
  6. Step 6: Final answer
    x = 201,384.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.