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Finding the Third Proportional to 91,865.25 and 140,530.50

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Solution

The third proportional to 91,865.25 and 140,530.50 is: 214,975.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,865.25 : 140,530.50 = 140,530.50 : x
  2. Step 2: Convert to fraction form
    91,865.25/140,530.50 = 140,530.50/x
  3. Step 3: Cross multiply
    91,865.25x = 140,530.50 × 140,530.50
  4. Step 4: Simplify right side
    91,865.25x = 19,748,821,430.25
  5. Step 5: Solve for x
    x = 19,748,821,430.25/91,865.25
  6. Step 6: Final answer
    x = 214,975.97

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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.