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Finding the Third Proportional to 52,303.50 and 123,455.25

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Solution

The third proportional to 52,303.50 and 123,455.25 is: 291,399.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,303.50 : 123,455.25 = 123,455.25 : x
  2. Step 2: Convert to fraction form
    52,303.50/123,455.25 = 123,455.25/x
  3. Step 3: Cross multiply
    52,303.50x = 123,455.25 × 123,455.25
  4. Step 4: Simplify right side
    52,303.50x = 15,241,198,752.56
  5. Step 5: Solve for x
    x = 15,241,198,752.56/52,303.50
  6. Step 6: Final answer
    x = 291,399.21

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.