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Finding the Third Proportional to 92,334 and 140,445

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Solution

The third proportional to 92,334 and 140,445 is: 213,624.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,334 : 140,445 = 140,445 : x
  2. Step 2: Convert to fraction form
    92,334/140,445 = 140,445/x
  3. Step 3: Cross multiply
    92,334x = 140,445 × 140,445
  4. Step 4: Simplify right side
    92,334x = 19,724,798,025
  5. Step 5: Solve for x
    x = 19,724,798,025/92,334
  6. Step 6: Final answer
    x = 213,624.43

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.