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Finding the Third Proportional to 92,138 and 193,560

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Solution

The third proportional to 92,138 and 193,560 is: 406,623.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,138 : 193,560 = 193,560 : x
  2. Step 2: Convert to fraction form
    92,138/193,560 = 193,560/x
  3. Step 3: Cross multiply
    92,138x = 193,560 × 193,560
  4. Step 4: Simplify right side
    92,138x = 37,465,473,600
  5. Step 5: Solve for x
    x = 37,465,473,600/92,138
  6. Step 6: Final answer
    x = 406,623.47

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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.