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Finding the Third Proportional to 52,522.75 and 75,503.50

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Solution

The third proportional to 52,522.75 and 75,503.50 is: 108,539.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,522.75 : 75,503.50 = 75,503.50 : x
  2. Step 2: Convert to fraction form
    52,522.75/75,503.50 = 75,503.50/x
  3. Step 3: Cross multiply
    52,522.75x = 75,503.50 × 75,503.50
  4. Step 4: Simplify right side
    52,522.75x = 5,700,778,512.25
  5. Step 5: Solve for x
    x = 5,700,778,512.25/52,522.75
  6. Step 6: Final answer
    x = 108,539.22

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.