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Finding the Third Proportional to 75,535.03 and 102,223.27

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Solution

The third proportional to 75,535.03 and 102,223.27 is: 138,341.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,535.03 : 102,223.27 = 102,223.27 : x
  2. Step 2: Convert to fraction form
    75,535.03/102,223.27 = 102,223.27/x
  3. Step 3: Cross multiply
    75,535.03x = 102,223.27 × 102,223.27
  4. Step 4: Simplify right side
    75,535.03x = 10,449,596,035.04
  5. Step 5: Solve for x
    x = 10,449,596,035.04/75,535.03
  6. Step 6: Final answer
    x = 138,341.06

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.