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Finding the Third Proportional to 92,145 and 193,575

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Solution

The third proportional to 92,145 and 193,575 is: 406,655.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,145 : 193,575 = 193,575 : x
  2. Step 2: Convert to fraction form
    92,145/193,575 = 193,575/x
  3. Step 3: Cross multiply
    92,145x = 193,575 × 193,575
  4. Step 4: Simplify right side
    92,145x = 37,471,280,625
  5. Step 5: Solve for x
    x = 37,471,280,625/92,145
  6. Step 6: Final answer
    x = 406,655.60

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Why These Related Problems?

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