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Finding the Third Proportional to 91,393.50 and 133,201.50

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Solution

The third proportional to 91,393.50 and 133,201.50 is: 194,134.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,393.50 : 133,201.50 = 133,201.50 : x
  2. Step 2: Convert to fraction form
    91,393.50/133,201.50 = 133,201.50/x
  3. Step 3: Cross multiply
    91,393.50x = 133,201.50 × 133,201.50
  4. Step 4: Simplify right side
    91,393.50x = 17,742,639,602.25
  5. Step 5: Solve for x
    x = 17,742,639,602.25/91,393.50
  6. Step 6: Final answer
    x = 194,134.59

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.