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Finding the Third Proportional to 56,702 and 85,491.75

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Solution

The third proportional to 56,702 and 85,491.75 is: 128,899.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,702 : 85,491.75 = 85,491.75 : x
  2. Step 2: Convert to fraction form
    56,702/85,491.75 = 85,491.75/x
  3. Step 3: Cross multiply
    56,702x = 85,491.75 × 85,491.75
  4. Step 4: Simplify right side
    56,702x = 7,308,839,318.06
  5. Step 5: Solve for x
    x = 7,308,839,318.06/56,702
  6. Step 6: Final answer
    x = 128,899.14

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.