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Finding the Third Proportional to 92,536 and 135,348

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Solution

The third proportional to 92,536 and 135,348 is: 197,967.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,536 : 135,348 = 135,348 : x
  2. Step 2: Convert to fraction form
    92,536/135,348 = 135,348/x
  3. Step 3: Cross multiply
    92,536x = 135,348 × 135,348
  4. Step 4: Simplify right side
    92,536x = 18,319,081,104
  5. Step 5: Solve for x
    x = 18,319,081,104/92,536
  6. Step 6: Final answer
    x = 197,967.07

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.