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Finding the Third Proportional to 105,655 and 143,899.50

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Solution

The third proportional to 105,655 and 143,899.50 is: 195,987.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,655 : 143,899.50 = 143,899.50 : x
  2. Step 2: Convert to fraction form
    105,655/143,899.50 = 143,899.50/x
  3. Step 3: Cross multiply
    105,655x = 143,899.50 × 143,899.50
  4. Step 4: Simplify right side
    105,655x = 20,707,066,100.25
  5. Step 5: Solve for x
    x = 20,707,066,100.25/105,655
  6. Step 6: Final answer
    x = 195,987.56

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.