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Finding the Third Proportional to 70,470 and 109,188

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Solution

The third proportional to 70,470 and 109,188 is: 169,178.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,470 : 109,188 = 109,188 : x
  2. Step 2: Convert to fraction form
    70,470/109,188 = 109,188/x
  3. Step 3: Cross multiply
    70,470x = 109,188 × 109,188
  4. Step 4: Simplify right side
    70,470x = 11,922,019,344
  5. Step 5: Solve for x
    x = 11,922,019,344/70,470
  6. Step 6: Final answer
    x = 169,178.65

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.