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Finding the Third Proportional to 92,755.76 and 142,133.17

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Solution

The third proportional to 92,755.76 and 142,133.17 is: 217,796.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,755.76 : 142,133.17 = 142,133.17 : x
  2. Step 2: Convert to fraction form
    92,755.76/142,133.17 = 142,133.17/x
  3. Step 3: Cross multiply
    92,755.76x = 142,133.17 × 142,133.17
  4. Step 4: Simplify right side
    92,755.76x = 20,201,837,436.83
  5. Step 5: Solve for x
    x = 20,201,837,436.83/92,755.76
  6. Step 6: Final answer
    x = 217,796.05

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.