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Finding the Third Proportional to 67,749.75 and 105,502.50

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Solution

The third proportional to 67,749.75 and 105,502.50 is: 164,292.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,749.75 : 105,502.50 = 105,502.50 : x
  2. Step 2: Convert to fraction form
    67,749.75/105,502.50 = 105,502.50/x
  3. Step 3: Cross multiply
    67,749.75x = 105,502.50 × 105,502.50
  4. Step 4: Simplify right side
    67,749.75x = 11,130,777,506.25
  5. Step 5: Solve for x
    x = 11,130,777,506.25/67,749.75
  6. Step 6: Final answer
    x = 164,292.53

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.