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Finding the Third Proportional to 91,731.38 and 140,332.50

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Solution

The third proportional to 91,731.38 and 140,332.50 is: 214,683.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,731.38 : 140,332.50 = 140,332.50 : x
  2. Step 2: Convert to fraction form
    91,731.38/140,332.50 = 140,332.50/x
  3. Step 3: Cross multiply
    91,731.38x = 140,332.50 × 140,332.50
  4. Step 4: Simplify right side
    91,731.38x = 19,693,210,556.25
  5. Step 5: Solve for x
    x = 19,693,210,556.25/91,731.38
  6. Step 6: Final answer
    x = 214,683.48

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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.