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Finding the Third Proportional to 70,384.50 and 106,182

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Solution

The third proportional to 70,384.50 and 106,182 is: 160,186.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,384.50 : 106,182 = 106,182 : x
  2. Step 2: Convert to fraction form
    70,384.50/106,182 = 106,182/x
  3. Step 3: Cross multiply
    70,384.50x = 106,182 × 106,182
  4. Step 4: Simplify right side
    70,384.50x = 11,274,617,124
  5. Step 5: Solve for x
    x = 11,274,617,124/70,384.50
  6. Step 6: Final answer
    x = 160,186.08

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.