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Finding the Third Proportional to 70,560 and 150,961.50

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Solution

The third proportional to 70,560 and 150,961.50 is: 322,978.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,560 : 150,961.50 = 150,961.50 : x
  2. Step 2: Convert to fraction form
    70,560/150,961.50 = 150,961.50/x
  3. Step 3: Cross multiply
    70,560x = 150,961.50 × 150,961.50
  4. Step 4: Simplify right side
    70,560x = 22,789,374,482.25
  5. Step 5: Solve for x
    x = 22,789,374,482.25/70,560
  6. Step 6: Final answer
    x = 322,978.66

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.