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Finding the Third Proportional to 75,276.84 and 110,835.84

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Solution

The third proportional to 75,276.84 and 110,835.84 is: 163,192.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,276.84 : 110,835.84 = 110,835.84 : x
  2. Step 2: Convert to fraction form
    75,276.84/110,835.84 = 110,835.84/x
  3. Step 3: Cross multiply
    75,276.84x = 110,835.84 × 110,835.84
  4. Step 4: Simplify right side
    75,276.84x = 12,284,584,259.77
  5. Step 5: Solve for x
    x = 12,284,584,259.77/75,276.84
  6. Step 6: Final answer
    x = 163,192.07

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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.