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Finding the Third Proportional to 70,610 and 102,015

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Solution

The third proportional to 70,610 and 102,015 is: 147,387.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,610 : 102,015 = 102,015 : x
  2. Step 2: Convert to fraction form
    70,610/102,015 = 102,015/x
  3. Step 3: Cross multiply
    70,610x = 102,015 × 102,015
  4. Step 4: Simplify right side
    70,610x = 10,407,060,225
  5. Step 5: Solve for x
    x = 10,407,060,225/70,610
  6. Step 6: Final answer
    x = 147,387.91

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.