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Finding the Third Proportional to 70,436.25 and 152,815.50

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Solution

The third proportional to 70,436.25 and 152,815.50 is: 331,542.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,436.25 : 152,815.50 = 152,815.50 : x
  2. Step 2: Convert to fraction form
    70,436.25/152,815.50 = 152,815.50/x
  3. Step 3: Cross multiply
    70,436.25x = 152,815.50 × 152,815.50
  4. Step 4: Simplify right side
    70,436.25x = 23,352,577,040.25
  5. Step 5: Solve for x
    x = 23,352,577,040.25/70,436.25
  6. Step 6: Final answer
    x = 331,542.03

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.