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Finding the Third Proportional to 80,426.25 and 118,298.25

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Solution

The third proportional to 80,426.25 and 118,298.25 is: 174,003.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,426.25 : 118,298.25 = 118,298.25 : x
  2. Step 2: Convert to fraction form
    80,426.25/118,298.25 = 118,298.25/x
  3. Step 3: Cross multiply
    80,426.25x = 118,298.25 × 118,298.25
  4. Step 4: Simplify right side
    80,426.25x = 13,994,475,953.06
  5. Step 5: Solve for x
    x = 13,994,475,953.06/80,426.25
  6. Step 6: Final answer
    x = 174,003.84

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.