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Finding the Third Proportional to 70,950 and 152,973

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Solution

The third proportional to 70,950 and 152,973 is: 329,820.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,950 : 152,973 = 152,973 : x
  2. Step 2: Convert to fraction form
    70,950/152,973 = 152,973/x
  3. Step 3: Cross multiply
    70,950x = 152,973 × 152,973
  4. Step 4: Simplify right side
    70,950x = 23,400,738,729
  5. Step 5: Solve for x
    x = 23,400,738,729/70,950
  6. Step 6: Final answer
    x = 329,820.14

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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.