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Finding the Third Proportional to 103,627.50 and 158,448

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Solution

The third proportional to 103,627.50 and 158,448 is: 242,269.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,627.50 : 158,448 = 158,448 : x
  2. Step 2: Convert to fraction form
    103,627.50/158,448 = 158,448/x
  3. Step 3: Cross multiply
    103,627.50x = 158,448 × 158,448
  4. Step 4: Simplify right side
    103,627.50x = 25,105,768,704
  5. Step 5: Solve for x
    x = 25,105,768,704/103,627.50
  6. Step 6: Final answer
    x = 242,269.37

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.