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Finding the Third Proportional to 70,996.50 and 153,063

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Solution

The third proportional to 70,996.50 and 153,063 is: 329,992.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,996.50 : 153,063 = 153,063 : x
  2. Step 2: Convert to fraction form
    70,996.50/153,063 = 153,063/x
  3. Step 3: Cross multiply
    70,996.50x = 153,063 × 153,063
  4. Step 4: Simplify right side
    70,996.50x = 23,428,281,969
  5. Step 5: Solve for x
    x = 23,428,281,969/70,996.50
  6. Step 6: Final answer
    x = 329,992.07

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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.