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Finding the Third Proportional to 91,489.50 and 133,065.28

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Solution

The third proportional to 91,489.50 and 133,065.28 is: 193,534.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,489.50 : 133,065.28 = 133,065.28 : x
  2. Step 2: Convert to fraction form
    91,489.50/133,065.28 = 133,065.28/x
  3. Step 3: Cross multiply
    91,489.50x = 133,065.28 × 133,065.28
  4. Step 4: Simplify right side
    91,489.50x = 17,706,369,074.14
  5. Step 5: Solve for x
    x = 17,706,369,074.14/91,489.50
  6. Step 6: Final answer
    x = 193,534.44

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.