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Finding the Third Proportional to 80,422.88 and 105,755.63

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Solution

The third proportional to 80,422.88 and 105,755.63 is: 139,068.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,422.88 : 105,755.63 = 105,755.63 : x
  2. Step 2: Convert to fraction form
    80,422.88/105,755.63 = 105,755.63/x
  3. Step 3: Cross multiply
    80,422.88x = 105,755.63 × 105,755.63
  4. Step 4: Simplify right side
    80,422.88x = 11,184,252,219.14
  5. Step 5: Solve for x
    x = 11,184,252,219.14/80,422.88
  6. Step 6: Final answer
    x = 139,068.05

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.