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Finding the Third Proportional to 88,744.50 and 193,527

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Solution

The third proportional to 88,744.50 and 193,527 is: 422,028.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,744.50 : 193,527 = 193,527 : x
  2. Step 2: Convert to fraction form
    88,744.50/193,527 = 193,527/x
  3. Step 3: Cross multiply
    88,744.50x = 193,527 × 193,527
  4. Step 4: Simplify right side
    88,744.50x = 37,452,699,729
  5. Step 5: Solve for x
    x = 37,452,699,729/88,744.50
  6. Step 6: Final answer
    x = 422,028.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.