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Finding the Third Proportional to 70,429.50 and 109,224

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Solution

The third proportional to 70,429.50 and 109,224 is: 169,387.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,429.50 : 109,224 = 109,224 : x
  2. Step 2: Convert to fraction form
    70,429.50/109,224 = 109,224/x
  3. Step 3: Cross multiply
    70,429.50x = 109,224 × 109,224
  4. Step 4: Simplify right side
    70,429.50x = 11,929,882,176
  5. Step 5: Solve for x
    x = 11,929,882,176/70,429.50
  6. Step 6: Final answer
    x = 169,387.57

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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.