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Finding the Third Proportional to 81,563 and 124,781.50

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Solution

The third proportional to 81,563 and 124,781.50 is: 190,900.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,563 : 124,781.50 = 124,781.50 : x
  2. Step 2: Convert to fraction form
    81,563/124,781.50 = 124,781.50/x
  3. Step 3: Cross multiply
    81,563x = 124,781.50 × 124,781.50
  4. Step 4: Simplify right side
    81,563x = 15,570,422,742.25
  5. Step 5: Solve for x
    x = 15,570,422,742.25/81,563
  6. Step 6: Final answer
    x = 190,900.56

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.