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Finding the Third Proportional to 53,522.25 and 75,304.50

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Solution

The third proportional to 53,522.25 and 75,304.50 is: 105,951.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,522.25 : 75,304.50 = 75,304.50 : x
  2. Step 2: Convert to fraction form
    53,522.25/75,304.50 = 75,304.50/x
  3. Step 3: Cross multiply
    53,522.25x = 75,304.50 × 75,304.50
  4. Step 4: Simplify right side
    53,522.25x = 5,670,767,720.25
  5. Step 5: Solve for x
    x = 5,670,767,720.25/53,522.25
  6. Step 6: Final answer
    x = 105,951.59

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.