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Finding the Third Proportional to 124,563 and 188,140.50

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Solution

The third proportional to 124,563 and 188,140.50 is: 284,168.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,563 : 188,140.50 = 188,140.50 : x
  2. Step 2: Convert to fraction form
    124,563/188,140.50 = 188,140.50/x
  3. Step 3: Cross multiply
    124,563x = 188,140.50 × 188,140.50
  4. Step 4: Simplify right side
    124,563x = 35,396,847,740.25
  5. Step 5: Solve for x
    x = 35,396,847,740.25/124,563
  6. Step 6: Final answer
    x = 284,168.23

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.