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Finding the Third Proportional to 70,216 and 105,215

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Solution

The third proportional to 70,216 and 105,215 is: 157,659.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,216 : 105,215 = 105,215 : x
  2. Step 2: Convert to fraction form
    70,216/105,215 = 105,215/x
  3. Step 3: Cross multiply
    70,216x = 105,215 × 105,215
  4. Step 4: Simplify right side
    70,216x = 11,070,196,225
  5. Step 5: Solve for x
    x = 11,070,196,225/70,216
  6. Step 6: Final answer
    x = 157,659.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.