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Finding the Third Proportional to 90,842.25 and 139,441.13

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Solution

The third proportional to 90,842.25 and 139,441.13 is: 214,039.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,842.25 : 139,441.13 = 139,441.13 : x
  2. Step 2: Convert to fraction form
    90,842.25/139,441.13 = 139,441.13/x
  3. Step 3: Cross multiply
    90,842.25x = 139,441.13 × 139,441.13
  4. Step 4: Simplify right side
    90,842.25x = 19,443,827,341.27
  5. Step 5: Solve for x
    x = 19,443,827,341.27/90,842.25
  6. Step 6: Final answer
    x = 214,039.47

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