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Finding the Third Proportional to 70,563.50 and 152,503

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Solution

The third proportional to 70,563.50 and 152,503 is: 329,592.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,563.50 : 152,503 = 152,503 : x
  2. Step 2: Convert to fraction form
    70,563.50/152,503 = 152,503/x
  3. Step 3: Cross multiply
    70,563.50x = 152,503 × 152,503
  4. Step 4: Simplify right side
    70,563.50x = 23,257,165,009
  5. Step 5: Solve for x
    x = 23,257,165,009/70,563.50
  6. Step 6: Final answer
    x = 329,592.00

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.