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Finding the Third Proportional to 52,303.50 and 75,415.50

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Solution

The third proportional to 52,303.50 and 75,415.50 is: 108,740.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,303.50 : 75,415.50 = 75,415.50 : x
  2. Step 2: Convert to fraction form
    52,303.50/75,415.50 = 75,415.50/x
  3. Step 3: Cross multiply
    52,303.50x = 75,415.50 × 75,415.50
  4. Step 4: Simplify right side
    52,303.50x = 5,687,497,640.25
  5. Step 5: Solve for x
    x = 5,687,497,640.25/52,303.50
  6. Step 6: Final answer
    x = 108,740.29

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.