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Finding the Third Proportional to 92,670 and 201,973

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Solution

The third proportional to 92,670 and 201,973 is: 440,197.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,670 : 201,973 = 201,973 : x
  2. Step 2: Convert to fraction form
    92,670/201,973 = 201,973/x
  3. Step 3: Cross multiply
    92,670x = 201,973 × 201,973
  4. Step 4: Simplify right side
    92,670x = 40,793,092,729
  5. Step 5: Solve for x
    x = 40,793,092,729/92,670
  6. Step 6: Final answer
    x = 440,197.40

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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.